{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e1f8e473",
   "metadata": {},
   "source": [
    "## 优化问题"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8fd7916",
   "metadata": {},
   "source": [
    "\n",
    "- 决策变量（decision variables）：待优化确定的参数\n",
    "    - 对于神经网络，是 layer 的 parameters/weights；\n",
    "    - 对于参数回归，是模型中待确定的参数；\n",
    "    - pytorch 优化时，需要将所有的待优化确定的参数封装进 `optimizer` 中\n",
    "    \n",
    "    ```\n",
    "    optimizer = torch.optim.Adam([x], lr=0.1)\n",
    "    ```\n",
    "- 目标函数（objective function）\n",
    "    - 是关于决策变量的函数，w.r.t decision variables\n",
    "    - 如任何一个需要最优化（最小/最大）的函数（Rosenbrock function）\n",
    "        \n",
    "        $$\n",
    "        f(x)=\\sum_{i=1}^{d-1}\\left[100(x_{i+1}-x_i^2)^2+(x_i-1)^2\\right]\n",
    "        $$\n",
    "        \n",
    "    - 神经网络中的 loss function（to minimize）\n",
    "\n",
    "- pytorch 的优化问题\n",
    "    - 目标函数对决策变量（参数）可导；\n",
    "    - 无约束；"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19288188",
   "metadata": {},
   "source": [
    "## Rosenbrock function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d60c17f1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:45:29.162503Z",
     "start_time": "2024-03-15T13:45:28.663369Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0: loss = 46.00251007080078\n",
      "Iteration 100: loss = 0.3717646896839142\n",
      "Iteration 200: loss = 0.04435967281460762\n",
      "Iteration 300: loss = 0.0063514625653624535\n",
      "Iteration 400: loss = 0.0009642678778618574\n",
      "Iteration 500: loss = 0.00016229461471084505\n",
      "Iteration 600: loss = 1.1787247785832733e-05\n",
      "Iteration 700: loss = 0.0007104062242433429\n",
      "Iteration 800: loss = 2.5467941213719314e-06\n",
      "Iteration 900: loss = 0.003143133595585823\n",
      "[0.99970233 0.9994302  0.9988302  0.9976877  0.9953527 ]\n",
      "7.45456736694905e-06\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "from torch import nn\n",
    "from torch.autograd import Variable\n",
    "\n",
    "# 定义 Rosenbrock 函数\n",
    "def rosenbrock(x):\n",
    "    return sum(100.0 * (x[1:] - x[:-1] ** 2.0) ** 2.0 + (1 - x[:-1]) ** 2.0)\n",
    "\n",
    "# 初始化参数向量，N = 10\n",
    "# x = Variable(torch.randn(10), requires_grad=True)\n",
    "x = nn.Parameter(torch.randn(5))\n",
    "\n",
    "# 选择优化器\n",
    "optimizer = torch.optim.Adam([x], lr=0.1)\n",
    "\n",
    "# 优化循环\n",
    "n_iter = 1000  # 迭代次数\n",
    "for i in range(n_iter):\n",
    "    optimizer.zero_grad()  # 清空梯度\n",
    "    loss = rosenbrock(x)  # 计算损失\n",
    "    loss.backward()  # 反向传播\n",
    "    optimizer.step()  # 更新参数\n",
    "    # 每1000次迭代打印一次损失值\n",
    "    if i % 100 == 0:\n",
    "        print(f\"Iteration {i}: loss = {loss.item()}\")\n",
    "# 输出最终的参数值和损失值\n",
    "x_final = x.detach().numpy()\n",
    "final_loss = loss.item()\n",
    "print(x_final)\n",
    "print(final_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f7609ec",
   "metadata": {},
   "source": [
    "## $a\\cdot\\exp(-k\\cdot x) + b$：参数回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c31473a6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:42.226070Z",
     "start_time": "2024-03-15T13:50:42.207956Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "from torch import nn\n",
    "from torch.functional import F\n",
    "from copy import copy\n",
    "import seaborn as sns\n",
    "from tqdm.notebook import tqdm\n",
    "sns.set_style(\"whitegrid\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "53bfb7b6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:47:13.482387Z",
     "start_time": "2024-03-15T13:47:13.167776Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x703ed1010130>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WgGunKmeSjSqhx76pCocXOzxypM6OsaISkUREREReg/Z8vg5jDDO1ArsnyxhjeLHeY+vIq4PL1fuOLXVZaEcb1FsRERGRy98FBZ8PPPAAt912GwcOHOCOO+7gsccee937v/rVr/I3/sbf4O1vfzvvec97+Pt//+/TbDYvqMMbpR9nRGlO0T93lnsp8IjSnH6crXPPRERERDaPNQefDz74IPfeey+/8Ru/wVe+8hXe8Y53cM8993Dq1Klz3v/YY4/x27/92/zar/0a/8//8//wz/7ZP+PQoUP8z//z//ymO7+eioFL6Dn0k3MHl704JfQclWASEREReR1rDj7vv/9+7rzzTu666y727dvHJz/5SbZs2cIXvvCFc97/gx/8gO3bt/Pf//f/PTt37uSd73wnH/zgB/nhD3/4pju/nqarIbsny8yt9F9VWslay3xrwO7JMtPVcIN6KCIiInL5W1PCURzHPPXUU3z0ox896/qtt97K448/fs5nDh48yO///u/zl3/5l7z3ve+lXq/z9a9/nZ/92Z9dc2ezbH2WtFfbeWV7P3XNKKeaPZ6fb7OlVqAYuPTjjLnWgNGSz09dM0qe5+vSR3l9rzWGsnloDDc/jeHmpvHb/NZ7DM+3nTUFn81mkyzLmJiYOOv65OQki4uL53zm5ptv5vd+7/f4rd/6LeI4Jk1TbrvtNv7hP/yHa2kagEOHDq35mTfj5e1Za2kOckbTlGY34UeNnCSHwDVsqbjsDwPqxzvUj69rF+UNrPfPjFx8GsPNT2O4uWn8Nr/LbQwvqNTSK7O9rbWvWV7ohRde4Hd+53f4O3/n7/Ce97yHxcVFPvOZz/CpT32K3/3d311TuwcOHMB1L/2eyizLOHTo0Jn2TjR6PHq0wYvtHoMkozjqsL0c8NatNfZODZfaVV7p8vLKMZTNR2O4+WkMNzeN3+a33mO42t4bWVPwOTY2huu6LC0tnXW9Xq8zOTl5zmf+9b/+19x88838rb/1twC4/vrrKRaL3H333fzWb/0W09PT592+67rr+gvgui6nViK++uQszV7C1pEiBc9hsRPx3HyHpU7MrokynqdyqZer9f6ZkYtPY7j5aQw3N43f5ne5jeGaEo6CIOCGG27goYceOuv6ww8/zMGDB8/5zGAwwHHObmb1G3C5n4lureWRI3WavYRrpyrEac4TJ5Z58uQKp1YGPHqkwf/+X57n+y82dM67iIiIyHlY85TdRz7yET7xiU9w4403cvDgQb74xS8yOzvLhz70IQDuu+8+5ufn+cxnPgPAz/3cz/EP/+E/5A//8A/5mZ/5GRYWFvjd3/1d3va2tzEzM3Nx3+YiW2hHHFvqsnWkSLOX8MTxJr04Y6To4xU8BknKQ88v8exsi7duG2HqdEa8znkXERERObc1B5+33347zWaTz372sywsLLB//34+97nPsX37dgAWFxeZnZ09c/8dd9xBt9vlgQce4J/8k39CtVrl3e9+N//T//Q/Xby3uET6ybCwfMFzeHa2RS/OmKqG9OKMo/Uucyt9BmlOkuX4nsNkJdA57yIiIiKv44I2K959993cfffd5/zcpz/96Vdd+/CHP8yHP/zhC2lqQxX9YWH5xU5EvRszUvTpRinPzbdZ6kSkucUxkFk4ttTDcxz+m/1TNHqxznkXEREROQed7f46VgvLzy73SbKcKM146tQKc60BUZqT5RbHGHzXYLG8tNzjh6daOuddRERE5DUo+Hwdxhhu2TvBeDmg0Yl5br7Fcj8+/TlwneH/6Sc5LoA1/GiuxXI3ZpBkOuddRERE5BUUfL6BneMl7n7XLsoFl9YgI8vBccB1DKHvErgOSTbcGxpnOQvtiG++sMjRpS7NXrzR3RcRERG5rCj4PA+FwOP6LTV2jBZxHYey71L0PbLcEqUp1kJqwTCcDc1zS5zlfPO5RU40ehvdfREREZHLhoLP89CPMwq+y63XTlIreCS5xRiwFvIcHMfgGoiyHMcYJisht+yZYKWf8MiRump/ioiIiJym4PM8FINh1vtkNeSmnaNUQp9y4DJZCQg8FwOkucVay/axEu/aO8F4JVTikYiIiMgrKPg8D6tZ7/OtATduH2H3ZJnQc7EAZpjxXgl9rt9S5Zdv3MJ4OQSgFHhEaa7EIxEREZHTdCj5eVjNep9b6dPsxbx9xwiz1ZDDCx26UUYhcHnbzhHetn2UsXJw5rlenBJ6DsXg8jlPVURERGQjKfg8TzvHS3zg4A4eOVLn2FKX8XJAbdco28dLeMbw7n3jOObHE8nWWuZbA67fWmO6Gm5gz0VEREQuHwo+12DneIkdY0UW2hH9OKMYuERJxleeeIkji11magVKgUcvTplvDRgt+dyyd0KnHImIiIicpuBzjYwxzNQKZ117+YzoQjsi9Byu31rjlr0TOt9dRERE5GUUfL4J1loW2hFZbnnvdZO897pJBklOMXCZroaa8RQRERF5BQWfF+hEo8fDh5d4+lSLXpxRClzeuq3GT++bfNXMqIiIiIgMKfi8ACcaPf79w0d5drZNlluSzJJZy9OnWvxorsVHbt2r5XYRERGRc1DwuUbWWr52aJbvH18GOww8B2lOkuakWc5ce0Dgufz2L12vZXcRERGRV1CR+TWabw349pE6aZrTT3J6cUboOowUPEqhS3eQ8bUnT/H9Fxsb3VURERGRy46CzzU62eyz1InIrSVOc6qhR24tzV7CSj8FcpY6Mf/HNw5zvN7d6O6KiIiIXFYUfF6ANLf0koyi7xJnOc1uTD/JcI0h8Bxcx3C80eMPHj3OiUZvo7srIiIictlQ8LlGO8aK1Ao+3SjDMZbOICXNLeHpoDNOoRS4jJY86t2IR47UsdZudLdFRERELgsKPtdoplbgndeMAZZGL6GfZHiuQw4M0gyLZawUUPJdPMfwrecW+eZzi+R5vtFdFxEREdlwynZfI2MMH/zJnfzg5Ao/mmsRZzkWizEGA4yVfay1vNjsc7TRpxdnHF7s8KdPjnDXO3bwrr0TG/0KIiIiIhtGM58XYNdEmY/ddi3Xb63iuwbfdaiGHjO1Ap4xLHSGZ7+HnmGs5DNaCnj61Ar/+58/x7eP1De6+yIiIiIbRsHnBXrX3gl+51du5N17Jxgp+kxUAsaKHv0kx8VhvOSTZpZawWeyGnLtdIXlfsJ//N5JLcGLiIjIVUvB55twzWSF3/6l6/nZ/dNcM1GmVgroRCmZzZlrR3SijDjN6McZjnGYqRU4vNjh6dn2RnddREREZEMo+HyTdk2U+fAt13DdTJUXFjr04hSDpRi4jBQ9+mnO8UaPXpxSDj3iNGe5F290t0VEREQ2hILPi2DHWJGxks9UNaTgu1gMaWZPz3zm9OKUxU5EN0oJPIfRUrDRXRYRERHZEMp2vwgW2hGHTq6AtQSuQz/JKQUGi2GQZBhjaJwOPt+2Y5S3bq1udJdFRERENoRmPi+CXpRyrN4ltbB/pkrBd+hEGVluCVxDkmYsdiLKgctd79iB4+jbLiIiIlcnzXxeBN04oxtnjJV8aoUAg+HFRpdOlBKlltxC6Lv8d+/cpTqfIiIiclVT8HkRlAOXcuDRjzOqoWWyGjJe9lnuJ3SjlPYgpVbweNeesY3uqoiIiMiGUvB5EZRCj90TJV5s9FjsRFRDj26cMd/q0x6kOMbgu4b/8uwivueyc7y00V0WERER2RDafHgRTFdD3rZzlC21kGrg8txCmx+cWObU8oA0s3gOTNcKnFrp8+XHT3Ki0dvoLouIiIhsCAWfF4Exhlv2TlAt+Jxc7tGPMkqBy9aRAuVwWHopznImSgHLvYRHjtSx1m50t0VERETWnYLPi8Ray+zKgEY3oROl9JOM9iClEnpcv6WKtXCk3mWmVuDYUpeFdrTRXRYRERFZd9rzeRGcaPT4g0df5GSzz66JMrMrfQLXIclyMmsxxlAr+NQ7MemUJUpz+nG20d0WERERWXea+XyTrLU8cqROvRtTLXiMFH1CzyX0XEZKAf0452SzR2Zzkiyn3U8IPYdi4G5010VERETWnWY+36SFdsSxpS7bRossdWIcoBx61DsRuR3Ocq70h0vxBc/h5HLAe/dPMV0NN7rrIiIiIutOM59vUj/OGCQZoedQ8ByWujEl3zmz59Mx4DjDILQdpdQ7EdeMlzDGbHTXRURERNadZj7fpGY35uhSl2dm28RZxmI7oh9nuAaqhWHh+Ti1lHyHG7bVqBU9Xmz0+Kk94wpARURE5Kqj4PNNONHo8c3nF4jTnDTP2TZSxHcNz862wRgCDwLPZctIgfdeN8XO8RKdKD2T7T5TK2z0K4iIiIisKy27X6DVRKPlfsq7904wUvCpd2N8x2WsFFDyXYwxXDtd5vYDW9k1UcYYQynwlO0uIiIiVy0FnxdoNdFo60iRiUrITbvG2FIrkOQ5cWbxXUPRdzmwfYTx8o+Ti3pxqmx3ERERuWpp2f0C9eOMKM0p+sMgcrwcMFYa47p+hSdOLLPUiQg8h1Lw42+xtZb51oDrt9aU7S4iIiJXJc18XqBi4BJ6w6z2VcYYRkoBB3aMUgo9ulFGnOVkuaU9SDi82GG05HPL3gklG4mIiMhVScHnBZquhuyeLDO30n/VOe1jJZ8ttZD9W6qkWc6xepeVfsL1W2t84OAOdo6XNqjXIiIiIhvrgpbdH3jgAT7/+c+zuLjIddddxz/4B/+Ad77znee89+/9vb/Hl7/85Vddv/baa/na1752Ic1fFowx3LJ3grmVPocXO8zUChR9l4X2gLmVAePlgLvftYtCMCy3VAxcpquhZjxFRETkqrbmmc8HH3yQe++9l9/4jd/gK1/5Cu94xzu45557OHXq1Dnv/+QnP8m3vvWtMx9/+Zd/yejoKL/0S7/0pju/0XaOl/jAwR1cv7XGiUaP//T0PA8drjPXGtCLM759rEmc5uyeLDNTKyjwFBERkavemmc+77//fu68807uuusu4MfB5Re+8AU+/vGPv+r+arVKtVo98+8///M/Z2VlhTvuuONNdPvysXO8hLWWF+Y7zNRCto2OMlUNGSQ5z862mF3u8d7rphkrB5r9FBERkavemoLPOI556qmn+OhHP3rW9VtvvZXHH3/8vL7Gl770JX76p3+a7du3r6VpALJsfWpjrrZzPu1Za3n48BJxmnHTjpEzgWXJdxgteHz7aIPHjy+zZ7JMwXe5ZqLEu/eMa9/nJbaWMZTLk8Zw89MYbm4av81vvcfwfNtZU/DZbDbJsoyJiYmzrk9OTrK4uPiGzy8sLPDNb36T3/u931tLs2ccOnTogp67UOfTXqOf8Z0XelQCw8m4eeZ6K8p5vh7TiS2usYyZLhbDcy/mPP6sy8/uLjJTVqWrS229f2bk4tMYbn4aw81N47f5XW5jeEHRzyuXja2157WU/OUvf5lqtcrP//zPX0izHDhwANe99MXZsyzj0KFD59XesXqXkcZxdk+UcZ3h98Bay/ePL+MXBmyrObxY73Ny4OO7Dq5nOBlZjmXj/LW379ES/CWyljGUy5PGcPPTGG5uGr/Nb73HcLW9N7Km4HNsbAzXdVlaWjrrer1eZ3Jy8nWftdbyx3/8x/zKr/wKQRCspdkzXNdd11+A82mvUggoBh5RZql4w3tb/YRGLyHwHI43BgySjEqhRLXgk6Q5i52Iv/jRIrfsm+TgrrH1eJWr1nr/zMjFpzHc/DSGm5vGb/O73MZwTdnuQRBwww038NBDD511/eGHH+bgwYOv++x3vvMdXnzxRX7t135t7b28jJ2r3meS5cRpxnI/phsnTNVCakUfxxgCz2Gs5NPoJvynp+bJ83yD30BERERk/ax52f0jH/kIn/jEJ7jxxhs5ePAgX/ziF5mdneVDH/oQAPfddx/z8/N85jOfOeu5L33pS7z97W9n//79F6fnl4lz1ft0jCFOc+ZbEZXQY7pawGDoRimLnYhWP6GfZHzrhUXGywG/dOMWJSCJiIjIVWHNweftt99Os9nks5/9LAsLC+zfv5/Pfe5zZ7LXFxcXmZ2dPeuZdrvNf/pP/4lPfvKTF6fXl5nVep+PHKlzbKnLIMnwXAdjDNdMlCgGLo1uxMlmjzS3GGC6GhB4Ls/OtegnqU4+EhERkavCBSUc3X333dx9993n/NynP/3pV12rVqv84Ac/uJCmNo2d4yV2jBVZaEf044zDix3+z784zGI7Ym5lwGInphdnuAZKoUvoexR9l2unKyy2Ix45UmfHWFEJSCIiInJF09nuF5Exhplagd2TZW67fpp3XDPGcj9hqRMzSDNCz6Fc8PAdh9nlPkXfoVb0makVOLbUZaEdbfQriIiIiFxSKjR5CY2WA8bLAUmWs9xLqBU8jDEMkowkt8DpgvSBd2bGVERERORKpuDzElloDxOLfnrfJEeXurQGK/SSnMB1GCkG1Aoe/SSjPUgxQOg5FIPLpwyCiIiIyKWg4PMS6ccZUZqze6LMtpECAHMrfWqFYbF5xzF0opQ4yVjuJ1y/tcZ0NdzgXouIiIhcWgo+L5Fi4BJ6Dv0koxJ6bB8tnt7X2cF1HVwsjjE8t9Bh/0yFW/ZOKNlIRERErnhKOLpEXl58vt6JOLbUpei7jJUCAtfQjXMGqSVKMt61Z0JllkREROSqoJnPS2S1+Pzsco9vH6kzSHO2jxWJ05ylTsRo0ee6qSo5OcfqXX5qz7hmPkVEROSKp5nPS2jneImfuW6K3EKW5Rxv9Jhb6RNlOY7j8GKzx/FGnz/74RxPnFje6O6KiIiIXHKa+byETjR6PHq0QaMb0U8yeklGkuaEnstUDbbUCrjGcLLZ56tPnGKyEmr5XURERK5omvm8RE40enz58ZM89dIKnTjD5hbXGDILubW0+gknm30GSc5EJaCfpDxypI61dqO7LiIiInLJKPi8BKy1PHKkTqMbEziG0HXAQJ5bKoGHBXILcZpxcrnHZCVkz2RFpxyJiIjIFU/B5yWw0B5mt1cLPo1+yo6xIp7rEqU5FovvGPpJRpxastwyUwspBR5RmuuUIxEREbmiac/nJbBaYL4aeiRZzmQlJLfQiVLSzGKBJMsZLXqUA59i4NKLU51yJCIiIlc8zXxeAqsF5jNr8V2HJM0ZLwdsGwlxXUOeW6yFfpyz1I347tEGh06ucM1ESacciYiIyBVNweclsFpgvjNImCj5rAwSulFKO8po9VLaUUKSZaz0Y3pRylOnWjx+vMnRxS4nm/2N7r6IiIjIJaPg8xJYLTA/Vg5wXUOS5Twz26LeiTCOxXfN6YSjnNzCTC1kohJw6NQK//f3T3Ki0dvoVxARERG5JBR8XiI7x0t84OAO3rl7HNcYknyYXFTwXEqBRyX02DpSoBJ6OI5h22gR1xhmV/oquSQiIiJXLCUcXUI7x0v8rDvF06da7Jkq8fSpNpXQ5XijT5pbBqklzSynlgdgDYXAYbQYnCm5NFMrbPQriIiIiFxUCj4vsUGS47kO09UCp5Yj+lFKJ0pxDASei+8a+knOci/Gjx1ya0lSq5JLIiIickXSsvsltpr57rmG8ZLPfHtAbi2B6+Ka4d5PzzG4rsF1hkdtBq5RySURERG5Iin4vMRWM9/nWwOmqwWsBYMZnvOeZURJhrWWUuCxfaTIyWaf8XKokksiIiJyRVLweYmtZr6PlnyON7rk1uIYSz9OaXRjBknGSNFnphaS5Dmea7hxWw1jzEZ3XUREROSi057PdbBzvMS79kzw2LEmUZpTCjyKgUeSWay1RGnOIMmZKAeMlwP2Tlc2ussiIiIil4SCz3VgreXFRo89kyVKocf8yoDpakjoOwzSnMV2xFjZZ7oW8tZtI1pyFxERkSuWgs91sNCOOLbUZftYmalqkTTNaUcpxvgUPJfRos+p5oBdY2Vu2TsBwHxrQD/OKAYu09VQy/AiIiJyRVDwuQ76cUaU5hR9l0rocdOuMY4sdqh3Y9pRggFC3+EntlRZ6kQ8fHiJF+s9ojQn9Bx2Tw6D0p3jpY1+FREREZE3RcHnOlgtt9RPMiqhx3g5YKw0RnuQstSJOLLYoRul/JcfLbDw3QG+5/D27aPsnijTTzKenW0xt9LnAwd3KAAVERGRTU3Z7utgtdzS3Er/zLGZxhjS3HJ0qctca8CWkQKeM6z7meeW5xbatPoJldBj31SF5V6iYzdFRERk01PwuQ5eXm7p8GKH9iAhzXKePrXC7EqfrSMFdo9XaPYSpioh07UCvTjj8FIHi8UYw0ytcObYTREREZHNSsHnOtk5XuIDB3dw/dYaK/2Ep2dbzLYG7J4os3+mSpRldKMUzzMYDLWCT70T0x6kAJQCjyjNdeymiIiIbGra87mOdo6X2DFWZKEd8fx8m+53U1zH8PRsm26UcGp5QKsfs3WkxEjRox3lJGkOQC9OCT1Hx26KiIjIpqbgc52tLqGfavaZbw3ILZRDlyTNidOck/2YxU7MdCVktBzgew7WWuZbA67fWlMNUBEREdnUFHxuAGuHCUW+69CLU+ZWEvpJTjl0wcAgyTjV6mMcWOnFLLQGjJZ8btk7oXqfIiIisqlpz+cGWGhHvFjv8bYdI7T6KXMrA7pRQjfOyHKLzSHPLN0o5fvHl9k6UuBXb9quMksiIiKy6Sn43ACrReezHAZpjucYOD2j6TgG3zM4jiH0XNqDhBPNPo8ebXCi0dvgnouIiIi8OVp23wDFwCVwDU/PtsitZdtYkTyH3FrSzLLcj0myDMfASMmnHLgqNC8iIiJXBM18boDpash4JWS+FeG7hsHp8km+a+gnw1nRWtEjzSxYGCkFKjQvIiIiVwTNfG4AYwzTlZBulNAapGQ5FHwH1zH04oyC5zBS8FkZpFQLPtWCh+HsQvMztcJGv4aIiIjImmnmcwOcaPR46tQKpdBjohwQuA5RktMdpKRZRuA6tAYprjHsnSpjGO4HVaF5ERER2ewUfK4zay2PHKkTZzk3bKkxUytww7YaO8eKVAsemYVGL6YbpwSeYaEV0ezGgArNi4iIyOanZfd1ttCOOLbUZdtoiclKTmuQ0ksyJiohgzQjjByS3DJe9tk5VmauNaA1SLhpxyiNXqxC8yIiIrKpaeZzna2WWSr6LuPlgJt2jTFTDZlvD+gnGWPlgJLvUfJ9ioHLRCUYJhodrTNSVKF5ERER2dw087nOioFL6Dn0k4xK6DFeDnBnqsy1BmytFTCOoRelTFRCenFGO8rxXUPgOrx3/5TKLImIiMimpuBznU1XQ3ZPlnl2tsW+qQrGGNLcYoyhVvKpd2J2jJe4edconUFGkuU4xlDvRoyVgo3uvoiIiMibomX3dWaM4Za9E4yWfA4vdmgPEhxjsNYyuzygFLjsm6zgGIda0WeiEuK5hoLvKtFIRERENr0LCj4feOABbrvtNg4cOMAdd9zBY4899rr3x3HM7//+7/NzP/dz3Hjjjfz8z/88X/rSly6ow1eCneMlPnBwB9dvrbHST6h3I0LPwRi4ZryE6xosw0Ly1lrmWwN2T5aVaCQiIiKb3pqX3R988EHuvfdePvWpT3HzzTfzR3/0R9xzzz187WtfY9u2bed85u/+3b9LvV7nf/1f/1d27dpFo9EgTdM33fnNbOd4iR1jRRbaEUcWOnzLd/nO0TqPHmlQK/rMjIRsqxUZpBmjJSUaiYiIyJVhzcHn/fffz5133sldd90FwCc/+Um+9a1v8YUvfIGPf/zjr7r/m9/8Jt/97nf58z//c0ZHRwHYsWPHm+v1FcIYQ5zmfPfFBr0k4yf3THBquc98K+L5uTanmn1uu36av/62bUo0EhERkSvCmoLPOI556qmn+OhHP3rW9VtvvZXHH3/8nM984xvf4MYbb+Tf/tt/y5/8yZ9QKpW47bbb+Lt/9+9SKKztiMgsW5+TfVbbudTtWWt56IVFGp2YfVNljDFsqQbMrkT045R6N6ZWcNlaC9bt3a8U6zWGculoDDc/jeHmpvHb/NZ7DM+3nTUFn81mkyzLmJiYOOv65OQki4uL53zmxIkTfO973yMMQ/7lv/yXNJtN/tE/+kcsLy9z7733rqV5Dh06tKb736xL3V6jn/GdF3pUAsPJuEkryjnVTlmJcrIccmt5abEBrTneMqFM9wux3j8zcvFpDDc/jeHmpvHb/C63MbygUkuv3HtorX3N/Yirn/u93/s9qtUqAH/v7/09fvM3f5NPfepTa5r9PHDgAK576TO+syzj0KFDl7y9Y/UuI43jjJcDmr2YEysdMidgy7iH7zlEac7JZo/nBhV+etduLb2vwXqNoVw6GsPNT2O4uWn8Nr/1HsPV9t7ImoLPsbExXNdlaWnprOv1ep3JyclzPjM1NcXMzMyZwBNg3759WGuZm5tj9+7d592+67rr+gtwqdtr9TOO1Xs8M9tmsRsxiDKmaiFVfFzHxTEwWSkwSHK+8+Iy10xWlHS0Ruv9MyMXn8Zw89MYbm4av83vchvDNZVaCoKAG264gYceeuis6w8//DAHDx485zM333wzCwsLdLvdM9eOHj2K4zhs2bLlArp8ZTjR6PHN5xeI05x+kmEsVAoerUHK8UaPbpTQGiRMVkP2TFY4ttRloR1tdLdFRERE3pQ11/n8yEc+wpe+9CW+9KUvcfjwYX73d3+X2dlZPvShDwFw33338YlPfOLM/e9///sZHR3l7//9v88LL7zAd7/7Xf7pP/2n3HnnnWtOOLpSWGt55Eid5X7Ku/dOUA5cunGGawyV0KMfZxxZ6lL0hwXnS4FHlOb0Y236FhERkc1tzXs+b7/9dprNJp/97GdZWFhg//79fO5zn2P79u0ALC4uMjs7e+b+crnMv/t3/47f+Z3f4c4772R0dJRf/uVf5rd+67cu2ktsNgvtiGNLXbaOFKmEHm/bMcZSJ6afZuRJRmYtLnDdTIWxckB7kBB6jk44EhERkU3vghKO7r77bu6+++5zfu7Tn/70q67t27eP+++//0KauiL144wozSn6w2By53iRPZNlnp1rAxbHQJRYjix2qQQejV7M9VtrOuFIRERENj2d7b4BioFL6Dn0k+EyerOX0Bmk5LkFDAXPIXAN860+/+XZ+TPnwSvZSERERDY7BZ8bYLoasnuyzNxKnzzPObLYwQJv2VJlrOzTjXMcxxB6DmlmGSQZnjPcKyoiIiKymV3Qsru8OaszmXMrfX740gqzK31qBR9jDEXfZdtICBjqnZhunPKfnp7j6GKX9+6f1FGbIiIisqlp5nOD7Bwv8YGDO9g1WaYbZ7SihH6SUSv65BbmVgakuWWsFFDwHOq9iK8+8RL/8r++wPF6940bEBEREbkMaeZzA+0cL3HHwe3MrwwoBS61os9zcy2WewnGgaLvMEgzotTiuTmDJOOvnl8izXJ+833XsWuivNGvICIiIrImmvncYDO1AjdsHyFKc7BwtN5nZZDQizLm2xGnmn06UUJuLZXAwzXw1KkV/uDR45xo9Da6+yIiIiJrouBzg63u/xwt+Tx5cplTyz3iJMMwTDTKrSXNLIvtmHo3oRenZLnl2FKH//i9ExxZbDPfGigZSURERDYFLbtfBnaOl/jVm7bzo7kOaWbBMcSZJbMWz3UIXIc0t0RpRpbn9JOc9iDliZMrPHq4wf6ZCm/bOcoteyeUjCQiIiKXNQWfl4nQd9k5VqC/c5Tn5tu0oxQH8B2DtZbM5iSpxQEMliTLKQQecZZxvNEjSnPmVvp84OAOBaAiIiJy2dKy+2WiH2ckOdy0c4wttSJpZsktDNKMTpQxSCyZhdRCDqS5JXANM7UCaW5J85xmL+GRI3UtwYuIiMhlS8HnZWL11KNC4PL2XaPUCi65tcTZMNhc5RhIs5xenOEYQ8F3qRV8Gt2ESuhxbKnLQjvasPcQEREReT0KPi8TLz/1aKLkUwk9iv4wIPUNGIYfOQxnQDNLlg9nOAPPIc1zXGOI0px+nG3kq4iIiIi8JgWfl4mXZ72/2OgSpXZ44pHnDKPOVfbH/zPfiphdGRCnOZ7jkFlL6DkUA3cjXkFERETkDSn4vIysnnp0zWQFz3XI8pwozXAc8IaZRsBw0FwHkjzn6GKHxfaA8bJPJ0rZPVlmuhpu5GuIiIiIvCYFn5eZ1VOP3nHNKNtHixR8F89xMY7Bdwy+a3DdYRTqGksnSmn0YjzHMFbyuWXvBMaYN2hFREREZGOo1NJlaKZW4J27xzmy2GW5n+A4lpJxwUCSWvpJSp6D4zi4joPnOOyfqfFLN25RmSURERG5rCn4vAwZY/jpfZM8frzJ0XqPOMmpFFyMMaRYCp5LreoxVSlgDOwYL/HzPzGtwFNEREQuewo+L1M7x0v87f/mWuZbEY8da9CNM1zjEHoOk5WAbaNFunHGaMln20iBUqihFBERkcuf9nxexnZNlPn//rdv5eCuMSbKIftnKrx95wg7x8t044yi71AOPPZMVZRkJCIiIpuCgs/L3DWTFf7Oz13L/pkqg2R4ilE3Thkt+YyXQ3aOF5VkJCIiIpuG1mo3gXftnWDrSIGvPzXPsaUumc0JXIcto0Vu2TPBjrHiRndRRERE5Lxo5nOT2DVR5m/9zB5+7Z072DVexhjDUjviPz8zz3/83klONHob3UURERGRN6TgcxM52ezzV88vstiJ2DZaZKIcklv4/rEG//f3TygAFRERkcuelt03iTzP+bMfzvFivcdkJeBHcy3q3YQky/Edw8lmn9D3+B/eu1f7P0VEROSypeBzEzjR6PFnT83x4A9nSdOcb/cSHAe2jxSZrIWkqWWhPeDPDs2ya7zIO64ZZ7oaKggVERGRy46Cz8vciUaPLz9+khfrPdIsp9mLaQ1SwNKNMlqDhLFySJLlnGz2+ex/PczN1zS4YVuNn943qcLzIiIicllR8HkZs9byyJE6zV7CZDnk0W6d9iCl4Lv4rkM/zphdGfDSygBrh/cvdQY8fWqFw4sdnpvv8Os/vVsBqIiIiFw2lHB0GVtoRxxb6rKlVmChPcA1BgN4DuTWYrD0opTuIKEfJ5RDl1LoUQ488tzy/RcbfO3JU1hrN/pVRERERAAFn5e1fpwRpTlpZmn0EraNFsDAcj9hpRez0k8YZJYkhyyHJLPYHIqBx3StgOs4fPtog/nWYKNfRURERARQ8HlZKwYuoefQjlKSLKcUePiOQ5pZkiwnPz2haQBjoBdnDNKMzOYYDOPlgHo35mSzv6HvISIiIrJKwedlbLoasnuyzHI3wjPDZfiC7xB6Do7j4DrgGPAdsBYMFmMMLzX79JJUy+0iIiJy2VHC0WXMGMMteyeYXe5xeLHLUieiGnp0o4zMZoDBZpbUDveBgmEQZ5yKUvpxRm5h60hBx2+KiIjIZUPB52Vu53iJO27eSS/OOd7o0ewn5NYyVvTxXYdGP2EQpRjjkOaWkjFYIEpz4izH9xziNN/o1xAREREBtOy+KewcL/GRW3dz67WTXDtdoRJ6eJ6L5zrMVEKKoYs9nf0eZxlZboGcbSMFyr7L15+eJ88VgIqIiMjG08znJjFTK/DufRM8fWqF0VLA8XoXwzDJKLcGh+EyfZqB41iSDBY7w4L0J5o9sPBLN25RzU8RERHZUJr53CRW93+OlwMcLJ0oo96NyWwOWALfAQzWWMqhR6XgUQs9DJblfsL3Xmzw5cdPcqLR2+hXERERkauYgs9NZOd4iV+9aTul0KfoO5QDjzQHxxg8x6EUDDPh09xSDT2KwfBjWIwJmr2ER47UlQUvIiIiG0bL7ptM6LtMVQL+2g1b8F1DlOQ8eXKZZ+fblH2H1iADOyw6b1zLIM0ZK/v044xK6HFsqctCO2KmVtjoVxEREZGrkILPTaYfZ8SZZdtoAdcxNLoxFhgkOf0oJc3BdaAbpziOIXAdtlQL9NMM1xh6aUY/zjb6NUREROQqpWX3TWb11KN+ktHoxjxxvMkgzhkt+pQCHxiefrTcSyh6DrvGS3iug2sMK4OEQZzRiVSAXkRERDaGZj43mdVTj545tcJKL6EXZ2wbLZBay3IvIs09LFANXQLPpRg4nGj0sdby2LEmI0WPrz15iqdnW9yyd0LZ7yIiIrKuNPO5yaxmvfuuwwuLXULfAWOoFTyyHELPoVb0wRjq3ZgXFjosdWLag5Sxks9P7Z5grBzy7GxL2e8iIiKy7hR8bkI7x0v83PXT1IoeaW6pdyOMMbx1W4237xhjplbAM4b2IKbZjfEdOLB9hHftmWCyGlIJPfZNVVhW9ruIiIisMy27b1J7pyoc2D6C5xjibBg8jpV8KgWPk40+T8+2MMsAhrGSjzHmrOeNMczUCsp+FxERkXWl4HOTmq6GjBR9/uqFJVxjyKzFcxwKvkO7n7Lcj9kxViJOc2pFn7nWgNYg4eDOMcbKAQClwGOhHSn7XURERNbNBS27P/DAA9x2220cOHCAO+64g8cee+w17/32t7/NW97ylld9HD58+II7LXCy2WexE9GLM/pJRjnwCD3Ds7NtnltoM1ryeeuWEQLPxcEwVQ3pxRmHlzpYhjOlvTgl9ByKgbvBbyMiIiJXizXPfD744IPce++9fOpTn+Lmm2/mj/7oj7jnnnv42te+xrZt217zuT/7sz+jUqmc+ff4+PiF9Viw1vLIkTq5hdveMs3RpS71bkw3TsmtpRJ61AoB28cLzLcHzLUGTHkhtYJP/XTyUTX0mG8NuH5rjelquNGvJCIiIleJNQef999/P3feeSd33XUXAJ/85Cf51re+xRe+8AU+/vGPv+ZzExMT1Gq1C+8pkGXrszy82s56tbdW860BRxc7zJxOHhrdOUJ7kLLYHkBuT59olLLSi5ksB8yu9DnZ7DFe8omSlEZnwNyyZbTk81PXjJLn+Ua/0kV3uY+hvDGN4eanMdzcNH6b33qP4fm2s6bgM45jnnrqKT760Y+edf3WW2/l8ccff91nf/VXf5U4jtm3bx+/8Ru/wbvf/e61NA3AoUOH1vzMm7He7Z2v2U7KiVM9kqpL0xistfQSS2uQ0eokxANDJ87pd1tEmaUdWXpJzkt1CFzDmDtgz6jP/jCgfrxD/fhGv9Glc7mOoZw/jeHmpzHc3DR+m9/lNoZrCj6bzSZZljExMXHW9cnJSRYXF8/5zNTUFP/4H/9jbrjhBuI45k/+5E/49V//df7Df/gP/ORP/uSaOnvgwAFc99LvT8yyjEOHDq1be2u1tTXgqd5xRoo+cZpzdKnLyXafejunOTBE6fAvj3YGlcDH9Q2ByWgPUirFkPe/81p+8cYtr8qAv5Jc7mMob0xjuPlpDDc3jd/mt95juNreG7mgbPdXBi3W2tcMZPbu3cvevXvP/PvgwYPMzc3x+c9/fs3Bp+u66/oLsN7tna+toyX2TFX47tE6jW5Cszvcx2kNlHxDq5+TW0jSmFY/pRZ6FAKHiUoAxvAnT85xYOcYuybKG/0ql9zlOoZy/jSGm5/GcHPT+G1+l9sYrinbfWxsDNd1WVpaOut6vV5ncnLyvL/O29/+dl588cW1NC0vY4zh3XvGWeknnFruEaUZqc1xMbSjHMeAe/pvAWstnTgjySxbRorsmywztzLg60/Nnykub61lvjXg2FKX+dZARedFRETkklnTzGcQBNxwww089NBD/MIv/MKZ6w8//DDve9/7zvvrPPPMM0xNTa2laXmF0HeZrhZIc8vzCx0M0E0yXMdQDlyS3GItFIPhEIeeQzfOGC8HhL5zprh8nOY8cqTOsaUuUZoTeg67J8s6911EREQuiTUvu3/kIx/hE5/4BDfeeCMHDx7ki1/8IrOzs3zoQx8C4L777mN+fp7PfOYzAPz7f//v2bFjB9deey1JkvDVr36Vr3/96/yLf/EvLu6bXGX6cUbouxzYPkKrn1LwDKdWIlwH6t0Em2cYY/FdQ5ZbAs+lM0hpD1IKvkuO5chCh+++2KDZS9g6UqTou/STjGdnW8yt9PnAwR0KQEVEROSiWnPwefvtt9NsNvnsZz/LwsIC+/fv53Of+xzbt28HYHFxkdnZ2TP3J0nCP/kn/4T5+XkKhQLXXnstn/vc5/jZn/3Zi/cWV6Fi4BJ6DrmFcuhhc4sxUPRcCm5GL0pwHIO1w2V63zUM0ozlfsLWkQIjBY8fnmrR7CVcO1U5s2d39dz3w4sdHjlSZ8dY8YpOTBIREZH1dUEJR3fffTd33333OT/36U9/+qx/33PPPdxzzz0X0oy8julqyO7JMs+cWmGi5HO82ccxhsxCtejR7MfkFuIspxx6ZLklSizlmks58JioFmh0IraOvDq41LnvIiIicqlc0PGasvGMMdyyd4KxcoDrGgq+Q55bVvoxUZoxVg4IPYcks1hraQ9Sxss+W0cL7BwvcuO2GnFmKfrnzn4rBR5RmuvcdxEREbmoLmjmUy4PO8dLfODgDh45UufJE8sMkpyTyz3yFLaMFBgv+3QHGQvtCNcxXDtVYf9MlRu3j1At+ASuoZ9kVMJX/xjo3HcRERG5FBR8bnI7x0vsGCvys/un6EUphxe7/Gi+xUIrop+kpFnEzEiI7zrMtQbMtwZ8//gyU5WAXpyx1Im5aefoWUvvq6WXdO67iIiIXGwKPq8Aq3s0AfZMVXjfT0zzxIllvvrES1QLOZXQ4alTHeqdiDjLCX2H6WoBY2C1pOe10xVKgUcvTplvDRgt+dyyd0LJRiIiInJRKfi8Qn37SJ3nFjpEScaRpS7tQYoLFEMPkpxulDJeDljpJ3SilOVezEI7IvQcrt9aU51PERERuSQUfF6Bnji+zDeeXaAfZ7QHCf0oxTUGxzEkWU6eGxZaEbWCh+c49KKE2w9spVrwKQYu09VQM54iIiJySSj4vMJYa3nkaJ32ICHwHKI0BwyBa3AchzjLyPKczMLhxS4jRZ9GN+Z4o8dff9u2je6+iIiIXOFUaukKs9COmFvu47kOjW6C5xgwgIEst2S5Jc0srjGY09f7acY3n1vkRKO30d0XERGRK5yCzyvMkcUOhxc7tPoJ9W5Me5CQW0uc5qRZhrUGC/iugzGGOMmZKPkAPHKkjl3NQBIRERG5BBR8XkFONHr812cXaA0yJishBd/FYnCMIckscWbJbY5jDN7p/Z/WWPZOVdk7VTlzopGIiIjIpaLg8wphreWRI3XiLOe6qTKB5zBTDfE9h6Lv4hjILWDBcw1pbgk8h90TFQ5sH9GJRiIiIrIulHB0hVhoRxxb6rJttMRkJac1SInSnNGiT5zl+I6h0YsJPIfQ8ygFLjdsq/K2HWOMlQPag0QnGomIiMglp+DzCtGPM6I0p+i7VEKPm3aNcWSxw8nlPvVuRJZbioHLaCngLVuqXDtVYcd4CYPRiUYiIiKybhR8XiGKgUvoOWfOah8vB4yVxtg/UyVOMxq9mEY3Hp7p7jmMlgLyHLpRzLGlLsXQ5bqpyka/hoiIiFzhFHxeIaarIbsnyzw722LfVAVjDMYYakUfaz2avZgDO0a5YWuVp061aXQjDi92WDydYDRJyH9+Zp7nFzs63UhEREQuGQWfVwhjDLfsnWBupc/hxQ4ztcKZs9pfWGiz0k9IMsvcyuB0wfnhcvt0NWTvdIWS79FPMp6dbTG30ucDB3e8ZgBqrWWhHdGPM52IJCIiImui4PMKsnO8xAcO7uCRI/UzZZOiJGOln1IrBuyaKFP0XXpxyl89t0g3Tnnf9TNUw2Gdz0rosW+qwuHFDo8cqbNjrPiqoPJEo3fm60dpTug57J4sa7ZUREREzouCzyvMzvESO8aKLLQjelHKnz+zgOcarpuungkkrQXXMbiOw5F6l7FKgGH4OWMMM7XCmeB1plY487VPNHp8+fGTNHsJW0eKFH33vGdLRUREREB1Pq9IqwFkKRzu9dw2WjprBjPJcpLcMl72mV3uc7zeozVIsAxPNzpXzc/VOqLNXsK1UxUqoYfrmDOzpcu9RCckiYiIyBvSzOcV7OXll17Odx3S3HKy2afRi2n1U2pFj60jRfZNVfBc86qan6t1RLeOvHop/vVmS0VEREReTsHnFeyV5ZdWJVlOvR0x3xoMZzstrAwSXmr2ebHeYbpa5ObdY0xVgjPPvFYgu6oUeGeSkERERERei4LPK9i5yi/lec5fPb/IQmtAP8kwBrJeDAyP35xtDRgr9RmvBHzp+y+dSSR6rUB2VS9OdUKSiIiIvCHt+byCrZZfGi35HF7scKLR5c9+OMsPTizTTbLT9wwTkJLMkuUWrGUQp8RpxneO1PkPjxzjeL17JpCdW+m/al/n6glJuyfLOiFJREREXpeCzyvcavml6VqBx441eHq2TZpbAtcQeA7e6e2bvucQnP4YpJZHjzQ4tdLn0SMN/vk3XuBEo8e794zjOQ7fP95kdqVPmue0BwmHFzuMlnxu2Tuhep8iIiLyurTsfhXYMVZkrOSzdaRIZ5ASpcNZT9dxgOFSugd4jmGQ5mAtaW6phD6h5/LcXJvP/sVhdk+U6MUp862II0tdKqHHNeMl3rZzVHU+RURE5Lwo+LwKLLQjXqz32DZW4qXlPqHv0o1SXGPJT6+gp1mOtYYstxQ8h8AdnoBULfis9GOePLnMiWaP9+6fYv9MlcVOxOxyn1Lg8u494wo8RURE5Lxo2f0qsJqpXg09yqFHOfDIMks3zojSjDy3pPlw36cBSqFH4Lm4jkOUZLQHKRaIk5x2P8V1DVtHihzcNUaaWx492lB9TxERETkvCj6vAquZ6p5rKPoeSZrhOuZMslEOWCCzEHiGUuBSKXiEvuGl5T6tfko/yTi53Oc7Rxt878UmzW78qvqeIiIiIm9EwedV4OWZ6tgc33UZL/sUPBfXdXAZ/iA4ZrgPtOi71EKfE40+K/2YHEvgmOGsaegytzLg8RPDAPRcpyGJiIiIvBYFn1eB1ZJLvusw24rYPlZkplZktOQTuIZC4DJVCRgp+gAErnPmqM2R4vB6lFmqBY9a0WeqGtKLMw4vdVTfU0RERNZECUdXiZ3jJX7u+mmenm1hjMFxYEdQ4idCj621IhMVn/lWxHePNagUPCYrAVGaUyt4nGj2yXPLZDnAMCylVCv4LLUjAtdw8zXjqu8pIiIi50XB51Vk71SFA9tH8FyHwHXwPYdqwaPZTTiy2OHoUof2IKWXZBxd7DJIM8bKPpPlYWDZiVNcZ1gLNLeWeidm31RF9T1FRETkvCn4vIpMV0P2TFV4drbFltPHbTa6MU8cb1LvRsy3Ikqhy66JEqeW+/RXMlq9lDSH8VJAZnOaeYznGvLcMl0L+Rs3bVOZJRERETlvCj6vIqt7P+dW+hxe7DBdDXlhoU2zF9Pqp7iOYd9UBTAYDNZYLAbXQGYtJc/Fcwz7Z6p0o5SD14xx087RjX4tERER2USUcHSVWT1u8/qtNWZXBhxZ6gIG1zXsnapQCjwW2wP6Sc5oISDHkmSWbpRSKXj0k5xn59tsHS3y0/smtdwuIiIia6KZz6uMtZbAc/jJa8YYLfp0o5TRUsDTsyuEnsNLzR7HGz1yhn+ZZJklyy39OKPRiYfnv7sO790/peV2ERERWTMFn1eRE40ejxypc2ypS5TmpFlOvRuT55aldsyRxQ7L/ZQkzXEMeK6Dw/DoTdcxTFYDdoyV6A5SRk+XZRIRERFZCwWfV4kTjR5ffvwkzV7C1pEiRd+lF6c89dIKT59awQFWBgl5DqsL6XGW4xhDMkgwGL57tMmP5jqUA5c/f2aBX3IdzX6KiIjImmjP51XAWssjR+o0ewnXTlWohB6uY6iEHhOVkDS3tOOUJLWkmSUH0hyyfLjsnltwHIMFulFKkuU8N9/iy4+f5ESjt9GvJyIiIpuIgs+rwEI74thSl60jxbMShNqDlEGas7VWIEktGHCd4cynPX1Pzul/W4jTnEroUS34pLml2Ut45Egda+05WhURERF5NQWfV4F+nBGlOUX/7CMwkywnTjMSazGnZ0JHSwG1go//sp+MJGe4RzS3+K5DJfRodBMqocexpS4L7Wid30hEREQ2K+35vAoUA5fQc+gnGZXwx0Puuw6W4Qxo4BoKnkuU5cRZNlxqZzjzCcPZT88xDNKM2daA0HNo9xMGaU4vSjfgrURERGQzUvB5FZiuhuyeLPPsbIt9p082AqgWPGqhRz9KqRV8wNKLc5JsGHJafrwE77mG0HOI05xOlIIF1xiMY5R8JCIiIudNy+5XgdWTjUZLPocXO7QHCVlu6UQpgedQCjwqoYfnuFiGQWVuh0Hn6m5OxwyX6Vd6CYM4w9ph/c+ttQKnVvpKPhIREZHzckHB5wMPPMBtt93GgQMHuOOOO3jsscfO67nvfe97vPWtb+VXfuVXLqRZeRNefrLRSj/hWL3LSj/hZ/ZP8d++fRsT1ZBq0cNxDI4zDDYdhh+BazBAL87op8OZ0X6S0+jF5NYyUQpodmP+7Kk5jiy0+eFLKxxd7DDfGigZSURERM6y5mX3Bx98kHvvvZdPfepT3HzzzfzRH/0R99xzD1/72tfYtm3baz7Xbrf57d/+bW655RaWlpbeVKflwuwcL7FjrMhCO6IfZxQDl+lqyMlmn//7+yc5stjBAZZ7CUvdGMdYjHFwjKGfJGSn48jcgm8g9F0W2xGPHKkTuA7fPtbgPz81R5JbyoHL7okyb9s5yi17J7QkLyIiIsAFzHzef//93Hnnndx1113s27ePT37yk2zZsoUvfOELr/vc//K//C+8//3v56abbrrQvspFYIxhplZg92SZmVoBYww7x0vccfMOfvraScoFj06UUvQdQt9j20iBiXKAYxwM4DvD/Z/VwvCEo2Yv5shShxcW26z0EuI0Z6zkk2Q5zy+0+cbT8/yff/ECD7+wqJlQERERWdvMZxzHPPXUU3z0ox896/qtt97K448//prP/fEf/zHHjx/nn/7Tf8q/+lf/6sJ6CmRZdsHPXkg769Xe5WDbSMidB7dR8h3+1V8ewQBRmjFIMrpROjxi04DnOBjHUC64lH2X2ZU+WW5xHIPnOExVA6yFKMmYXRlwxHYAw7ePNvipPWO8bcco794zfslnQq/GMbzSaAw3P43h5qbx2/zWewzPt501BZ/NZpMsy5iYmDjr+uTkJIuLi+d85tixY9x333088MADeN6bS64/dOjQm3r+cm/vclDoZ+woprTjnJUkpxNltAc5WPAcsDbHB2wS004ikjQnyy1JDlMlh4X6Mou9nDjLSTJLaqHqOyx3Ep44EjO7sMQTP/J47zUFZsqXvtjC1TiGVxqN4eanMdzcNH6b3+U2hhf0X/+Xn5IDw+MbX3kNhhHwxz/+cT72sY+xZ8+eC+vhyxw4cADXdd/4xjcpyzIOHTq0bu1dTqy11IOXeHa2zVQ1YLEd8ejRBu1BCljagxTPcXA8jyS3YFJSm+E4hjAsMNvP6Cc5lmEN0cAzjFQLJGlOWPQZGS1RKAa0ClX+2tu3n/Pn5mK4msfwSqEx3Pw0hpubxm/zW+8xXG3vjawp+BwbG8N13VclDNXrdSYnJ191f7fb5Yc//CHPPPMM//gf/2MA8jzHWstb3/pWPv/5z3PLLbecd/uu667rL8B6t3e5uPXaKRbaEfVuQm4hzSz9JKMXpxgLibF0l9PT5ZYYzop6sNxPsBYKvkcvTsmtJc6GJZpc12G0FNDspewcL3O80afeS5mpFS7pu1ytY3gl0RhufhrDzU3jt/ldbmO4puAzCAJuuOEGHnroIX7hF37hzPWHH36Y973vfa+6v1Kp8Kd/+qdnXfvDP/xDHn30Uf75P//n7Nix4wK7LZfSalmmrx2a5b88PUc3SrEWPOOQkZPbYfn50Dd0B/nwFKTM0uolOK4hOH1ykmPAmOEJSjvGSlQLHvVujGsMvTSjH2sfkYiIyNVmzcvuH/nIR/jEJz7BjTfeyMGDB/niF7/I7OwsH/rQhwC47777mJ+f5zOf+QyO47B///6znp+YmCAMw1ddl8vLjrEiYyWfvVMVDmwf4a9eWKLRjUkyiDNLnluiZBhgWjv8yIAss9h8eDyn7zmErkNuoVbwiFOL5zhk1hJ6DsXg8vkrTERERNbHmoPP22+/nWazyWc/+1kWFhbYv38/n/vc59i+fTsAi4uLzM7OXvSOyvpaaEe8WO+xb7pKnlvGyiGOMSy0IwoOpFlOlGS4rsGxq/t+IckgsaeDUqAcuLiuwXcdWoOEmVpIJ0r5ia01pqvhRr+miIiIrLMLSji6++67ufvuu8/5uU9/+tOv++zHPvYxPvaxj11Is7KO+nFGlOYUfZflXoznGLaPFRkkOQXPsNSJ6ccZTm7JMeQ5FAIX18kxOLgGHMeQY7E5nFrpUSn4uMYwVvK5Ze/EJUs2EhERkcvXpa91I5tSMXAJPYd+kuG7Dr7rYHMIPIc4zWlHKfnppfbcWnKGAatjoBT8+Ot0Bulw46cFw3AT6Lv26MQjERGRq5WCTzmn6WrI7skyz8622DtZZqIcMLvSp+Q7HG31SU6ftek4kGdgGC6zWzsMRrN8mJQ0MxLyU7sn2DZaILfQiVK+fbTOttGiAlAREZGrkIJPOSdjDLfsnWBupc+RpS4ztZDlfkKjE9FPMizgnd7jaQD3ZSvogyTHcaDgubxlpspNu0aHs54M94YeXuzwyJE6O8aKWnoXERG5yqz5bHe5eqyWXLp+aw1jDJOVgFLBw3ccip7BGDi9ko7vORQDh8AfllkqeC43bKsSpZZWP6HVT6h3ItqDlOlqyLGlLgvtaKNfUURERNaZZj7lde0cL7FjrMhCO6IfZ/xorsU/+/PnKYcusysDmr0EF7AGMgtZbvEcmKyETFYLzK70eeL4MoM0J8lyfNdhrOQTeI7qfIqIiFyFFHzKGzLGnDmJqOA7bBkp0IlS9k6U+VHWIcty7Oll9dzmVMKAsXLAiUaPeicGYLpSwCt4dAYpLyx08BxDoxuxe7K8Ye8lIiIi60/Bp6zJTK3Au/ZO8PWn5khMzlQloB2l+I5DkufEqWGk6NPqx7y03MdzHGpFj3aU0IkyulFKJ0pwjMMffvs4k5WQXRMKQEVERK4W2vMpa2KM4a8f2MrNu0bxHIfAG5Zg6sbpcMnddchyaA+yM8vwL9a7fP/4MicaPfpxRq3gsWusxHPzHf7g0eOcaPQ2+rVERERknWjmU9Zs53iJX//pPTx8eImnT7VYbEc0exGNXsIgyegnGaHvMGYCbJ6z3E9JTp+IRDlgpOhTDl2MY6l3I2W+i4iIXEUUfMoF2Tle4r8b23kmEak9SPi/HjvBiUaPdpRSCVxeWOzSiy2OgaI/PNPdM4Z+mnKs0WOiHLBttHgm8311X6mIiIhcuRR8ygVbTUSy1vK9F5s0ugnLvYQ0tyx3Y1b6CVGSD0sxuQasIc0toetQ78YEriH0DI1uqsx3ERGRq4SCT3lTTjR6PHKkzlMvrfDMbIuF9oCC51At+ASeS5rnJKllkGT4nkuc5cy1I6yFRjfmv/5okVrBp9mL2Y0Sj0RERK50Cj7lgp1o9Pjy4ydp9hK2jhQoBg55Dpm1tKMUrKUWerTJiJIcm2Z4joPvuEyUAzKbE6U5UZrx4KFZBknG3qkK09VQ+z9FRESuUAo+5YJYa3nkSJ1GN2amVqDZTfAdQyV0GaQ5eZ6TW/Bch9B3yfOcNAfPNUxXAyyGfgSTZZdq6PPtIw2emW1xYPsIe6Yq3LJ3Qme/i4iIXIEUfMoFWWhHPHlimUYv5uhSj/YgYbGTUC362P4w6z3JckxsCX2X1HNJ44w8t5xaicDCRDXAdw3tQcpEJSA9Xarp2dkWcyt9PnBwhwJQERGRK4zqfMoFObLY4enZFo1uTClwmayEhJ5DmlsqBY8ttQKV0Mf3XAZJhoMh8ByKgUtuLWme0+wmvLTcpxy6VAs+ubUErsO+qQrLvYRHjtSx1m70q4qIiMhFpOBT1sxayw9PtUgyy2jRJ/Rcir5Lrejjnt6qGfgO+6ZK7JsqM14O8T2DtZBkObWiz9bRArm1dAYpJ5p9VnoJrjEM0uxMQHt0scNCO9rYlxUREZGLSsvusmYL7YhGJ2LneJHlXkLouRhjmKqEwyLzcUq9kzC5JSROcyYrPr4Loevgew4jRZ8ks3iOg+NAN0p4vh8zWgr43otNHGNwnWGwemSho/qfIiIiVxDNfMqa9eOMOLNcP1Oj5LssdiIGSUYxcJmuhniOg7UWa6EbZ0zWCkxUClw3U6UYeHSijCy3uA4M0pzlXsJSJ2Z2ZcBLzT7LvZgkzWj1E/7rjxY50ehhrWW+NeDYUpf51kDL8SIiIpuUZj5lzYqBS+g5FAKXm3aNcWSxQ70b044SPMdh/0yFYuDySzdu5aEXligELof6K4yUAgJvGKx2BglxljOIUzzn9Fq9tXSj4WlJs8Zw47YaSZ7ztUOzjJV8Xqz3iNKc0HPYPVlWRryIiMgmpOBT1my6GrJ7ssyzsy32TVV4xzVjtAfD89s9x7DQHvAT20b4+Z+YZrmf8P1jDXzHkKQ55dCjFLj0kpRunJJmdpgVD/ieg2sMUWqIs5zZlQG7xkt845l59kyW2Tddpei79JNMGfEiIiKblJbdZc2MMdyyd4LRks/hxQ6dKKUcegSew2InYqwccMveCRzH4Za9E2wdLZDllsXOgG6U0OjFzK8M8B1DNRxmvxsDaWbJLJQLHltrRXpxxhMnl+lEKdtHi1RCD9cxVEJPGfEiIiKblGY+5YLsHC/xgYM7eORInWNLXRbaEaHncP3W2lnL4TvHS9xx8076Sc7XfzjH0XoP33FwTc5yP2UQ51ggN5ZBmlMyhsA1+J7BJLDYjtk1XiTw3bPaXz1XfrVtJSWJiIhsDgo+5YLtHC+xY6zIQjuiH/844ehcR2MWfZe3bqvRjVLmWhEnGl26cQ6AC+QWoiQjSjLaUULJ94CcJAMsNDoRWEu16GMYfv1S4J1pW0RERDYHBZ/ypqzOQJ7Laob6n/7gFC8t97lxW43FdsSxepc8t7hAdvqD/MfPZaklTZPh1zDwwmKH2VZEJXTZM1nmwPZRxsoBvTglcA2dKOXYUvd1g18RERG5PCj4lEviRKPHI0fqPPXSCt8+2iDJMp443qQbZ9TbA5L8rHjzVVbnMo2FOMuZ8AyDJOepUy3aUcq7d4/zo/k2qYX/67ETeI6h4LtnsuC3jYTr8ZoiIiKyRgo+5aI70ejx5cdP0uwlpJmlE6U4wMDmrPRi4mwYeJrTH6+VLuQAoW/IcstSJ2G6Ojz//ehSlxPNHllqKYYuK72EmZGQbbXimSz4v/G2rW/qHay157WdQERERNZGwadcVNZaHjlSp9lL2DdZ5qHDdWwOlZJHlucstXNywDVg7WvPfhqgEDg4xuAB1uQ0+wmB69DqJzgubB8pcu10lTS3LLQiOoOUm3aM0ujFPHq0wbXOhWXBr87aHlvqqq6oiIjIRaZSS3JRLbQjji112TpSpBNldKOUsbLPIMnJ82HACcP/XQ0NDcOko5fPK3quwcEQpzlpbjHWECcZaWaHS+yey3S1gOs4hJ7LVDWkF2ccqXeZqRV4sd6jOXi9hf1zW521fWa2xWgpYPdEmdFSwLOzLb78+ElONHpv8jskIiJydVPwKRdVP86I0pyi75Jkw8BxplYg8Bz6SYbjOjiAMWcHnzk//rcDOAbiLCPLwXMcKgUPx3HoxSlpnpPmkFrLIMmwWAyGauhxarnPYjui0Y0YpGsLPl8+a3vtVEV1RUVERC4BLbvLRVXwHdIs59RyD8cx+K4hcB12jpU4tdKn0Y2x/HgGFM5eejdA0TckmSXNwXct5YJLbsFxDHlmSbOcnIyTjR6B51IpeJQDj84gYbET040yPAcKccaBRo/dU9Xz6vvLZ21fub9TdUVFREQuDs18ykVzotHjL59b5HijxzefW+LJE8u0BykL7QGlwGWmGuB7DqFvKAYOvgOBA54z/CvINRB4DgXfI7fD2VHfc8HCIM5I09Vld4eC72AB3zUsdSKenWux2I4IPIPvwtaRAku9jK88ceq8l8pfPmt7LqXAI0pz1RUVERF5EzTzKRfFyzPcf2JrDWPatAcJSZrTiVPiNKc1SCn6DqPFgG6cYn1LwXfJspx2lOI5DtWCzyDNCH0X10CSWxq9GN8YCr6D53mUfBdjwHMM/TgjTXOiJCPLLYXAZawU8hNba7TrvTNL5TvGigCvm8FeDFzC09sDKuGrfzV6cUroORSDcwenIiIi8sYUfMqb9sq9ksYYSoHHkcUO9U7EIMnoJSkWy3StQMH3SLMczzHkgIOhHDj4roPvOZxs9FjqxGc+n1lLNXQpBR7Vgs+p5QH9JGW6WqA9GJ4Vn1vIrWXneImbd40xUvToNAxbTi+VP3FimecXOq+bwT5dDdk9WebZ2Rb7Tr/Hy99xvjXg+q01pquqISoiInKhFHzKm3auvZLj5YCx0hjtQUqzFzPf6mMt7JmsUAhcKqFLZ5CRZDm+61D0Hf7zMwvMFH1+7R07ePhIg7mVAdPVkILvcLzZp91P2DFepBN51Ioeoe8QZcOZyJGCT+i53LxrePpRng93khYDlyP1Ll994hQY2DpSpOi79JPsTE3QDxzcwc7xEsYYbtk7wdxKn8OLHWZqBUqBRy9OmW8NGC353LJ3QvU+RURE3gQFn/KmvdZeSWMMtaJPOfRY6Se4xlAKvTNL2rXij7ccn1ru0Y1Tto2O4rouN2wbIUmHy/HG+FRDj4WViOP1HlPVAjftGMVzHZrdmCdfWqbgD5OSAu/sPvSilMV2hKnC23aMngkcVzPYDy92zizLG2PYOV7iAwd3nKnzudCOCD2H67fWVOdTRETkIlDwKW/a+eyVHCv5jJdDZlf651zSnlsZUA6G9TphOHN6066x4dJ9NyZJczCW3BquGS/heQ7Vgke14LHYHvDsfJv9MxWstdQ7Ea6BPM85Wu8CsHe6ct4Z7DvHS+wYK+qEIxERkUtAwae8aee7V/Lde8b5yhMvnXNJe7wcUPBdBklOJRzOiL586f7Fepcoy8hzePRIg1rRP3OkpusaCp7DyWaf+VYEDI9P6nYjrttumayEpNkwKPVPB60Gg7WWNLMstiNONHpnBZirgamIiIhcXAo+5U07372Sr7ek/e494zx6tHEmgAVoD1KSLKczSHh2rkUp9HjbjhFmlwfMtyKen2tzqtnn5l2jMF3l1EqfPAfMj49PGiQZjd6Ak80+jjMsWD9RCZgoBdS7MbMrfbpxxp/+4BRHlrpaWhcREbnEFHzKRXG+eyVfb0nbGMPcSp8nTjTpRhntKKUfpcy1IhwH3nHNGDtGS9RCn5lqAWsty/2IpU5MpeDxyzduoRNlJGmO68DxEwOeafbpJBljpYCtlQJpbofZ770mo0Ufx3HYO1Vm21jxVQlIIiIicvEp+JSL5nz3Sr7WkvbO8RLv2jPBD19qMbcyIPQdHNcQ+A7lwOUHJ5Z5drZNLxkWeQ9cg+MYFtsRP3PdFMYMj9hs25RBnHBsJcNzfcb94ZJ+vRtTDT2yPKczGH6NPZMVrpuqUg19KlPeqxKQRERE5OJS8CkX1ZvZK2mt5cVGj22jBW7aOcJKL2VlkNCPV0jSnCOLXXJrCbzV8+ENcZaTZDmPHWvw0nIfYw29JGW5G/NSM2aiOqwN+paZKo1uzKmVPkudZHjCkuuwf6bCWDk4q+86QlNEROTSUfApl43VeqGlwOOFhS71bky9E/Fio0ua5mQWHGNwjaGf5lg7XF7Pc1jqxjR7CWmWUy36pwvbWwbLfXw3YtdEiXdcM8ZUPSROc8bLAb04oxSc/StQCrwzM7ciIiJy8Sn4lMtGP85Y6gz3cA7ijFrBwzXgAHE2zCByHEjzHAdLzjDwdB1LsxszVvTopzlJ11I5fQRmklmSLOObzy3RizP2TlSoFnyy3OK7Dp5raPWTM8XuweoITRERkUtIwadcNgq+w2I7oj1I2T5aZJDmrAxSMIb8dAK7zSw5OTCs+QkMa4zGOSsmw3cdstzS6qdkOTiuoRK4xFnOs3NtkjSn4DmcaPbYMVbk+fk29e7p4NMxZLnlPfunmKoEzLcGZ/auTlUCFjux6n6KiIi8SRcUfD7wwAN8/vOfZ3Fxkeuuu45/8A/+Ae985zvPee9jjz3G7/3e73H06FH6/T7btm3jQx/6EL/+67/+ZvotVzoDnUHCSj/BWjssGn86AE1Oz4IGHrjG4LsufZOT5jmeA/04x3MNRQ/8wMMynDG1uaXejfBch9BzeKnZpxh4TJQDQs+h0Y3J8pwjix0+980jtAYpUZoTJRmD00Fr6LvnPBdeREREzs+ag88HH3yQe++9l0996lPcfPPN/NEf/RH33HMPX/va19i2bdur7i+VSvzNv/k3ectb3kKxWOR73/sen/rUpygWi3zwgx+8KC8hV4ZBkjNZDTEGFloDGt2Y3Fo8YzAGDMMSnhgwZrj/03HM6SQkg8GQ5hZrwHUczOlncyDDEqU5zumM+J3jJY4sdXGNoROneI7DrokS46WA7x1v8tJyn/funyKKc74736beiZishLzzmnEKgauyTCIiIhfIeeNbznb//fdz5513ctddd7Fv3z4++clPsmXLFr7whS+c8/63vvWtvP/97+e6665jx44d/Mqv/Arvec97eOyxx9505+XKMlzeDrl+psZoKaAbp7iOIbVQCFxcx2AB1zEYIE5zcguOgbLvkVlLlOS4xqESDu9Pc0uUpIyELjPVkBu3jVAreCz3Em7eOcpP75vg3XsmuGXfBDfvGqXRjXFPJzXlueVYvUuWWa6drgxrhDa6lEOXfVMVlnsJjxypY63d6G+diIjIprGmmc84jnnqqaf46Ec/etb1W2+9lccff/y8vsbTTz/N448/zm/91m+tpWkAsmx9MpBX21mv9mRoouSxa7zIs7Nt3jJdZqE1wGJZ6sSkWUaeWXIsxliyfLgMb4ylHLiAoR1ZLOA5p5forSVJM6I0p24TLPDw4Tq9JKXguSz3YiarIXsny1QCl1YvYakTMV726QxSGt2IpU5EreBigFroUW9HrPRiagWf6UrI0cUOs8s9lWW6BPR7uPlpDDc3jd/mt95jeL7trCn4bDabZFnGxMTEWdcnJydZXFx83Wff+9730mg0yLKM//F//B+566671tI0AIcOHVrzM2/GercnUBukDFoDvnM8Ya6VkueWJLcM0uGGT5/Ty+8uZBmYPKfVj0kycBl+Mk0zltMMayGzGRbI4oymzXAYFqfvpdBcSVheMZyYq7N/wie30FyJKXiQ5rAwP6C5kpKFhq4xWCwrA8vxkwNGCg6Ztcy1M77/ZIutlYuXu2etpTnIiTJL6BrGCs5Vndyk38PNT2O4uWn8Nr/LbQwv6L+Yr/wPobX2Df/j+MADD9Dr9fjBD37AfffdxzXXXMP73//+NbV74MABXPfSl8DJsoxDhw6tW3tytrFtdT7/rWPQbZPZnJGyx4zvYK2lE+Xkdrh/sxg4zNQKnGz2qHcS0tziGXBdlyjNyHPwPEPgmmHJJWsoBy7XzVSYb8X0reWtW6ssdRP6foHrpsq8FDXoJxm7x0tcN1WmebRJyR8mGkVJjhtm7NoxTq0wnB31qwk3v23XRZv5PNHo8ejRBi+2ewySjILvck1Q4t17xq+6vaX6Pdz8NIabm8Zv81vvMVxt742sKfgcGxvDdV2WlpbOul6v15mcnHzdZ3fu3AnAW97yFpaWlvgX/+JfrDn4dF13XX8B1rs9Gf4hc2I5Ysd4iX3TFQ6dbBFnOcXApdWP6bZjOoMUxzGEns8LC106g4Q0Z1gT1ECW57iOAWsJPXdYJ5SMkYJHwXfpp5btY0VebPSYbcVUCx5LnZjto8XhbGlu2TdZYaQUMFkJmWsNmPRdWlHKlpECI6UALCx0Iq7fWmPraOk1//iy1r7hcaOrTjR6fPXJWZq9hK0jRYq+Sz/JeG6+w0I7umqTm/R7uPlpDDc3jd/md7mN4ZqCzyAIuOGGG3jooYf4hV/4hTPXH374Yd73vved99ex1pIkyVqalqvEfGvAUy+tUApcRkoBt1w7wQ9PrvDsfJs4Hc4EprmlFDgstCLSfLjHs+AbwAx/tnIIvWEWfClwwBgc12FLrUCWQ2eQMlUJmawETJQDeklGoxvT7Ca8Z/8Ui+2IRi/G9xx2T5RZ7ES8sNBhohKye7xMZ5Ay3xowWvK5Ze/E6waTjxypc2ypS5Tmr1uiyVrLI0fqNHsJ105VznzNSuixb6qiM+dFROSKseZl94985CN84hOf4MYbb+TgwYN88YtfZHZ2lg996EMA3HfffczPz/OZz3wGGC63b926lb179wLwve99j3/37/4df/Nv/s2L+BpyJTjR6PGnT57i8RPLlEOXwHUZL/sATFZCxooegzTnhYUOpcCl5WeQDYO6su/RjTPSfHjsZm4BC50oY7IcUvQgy8F1DXlq6ccpvutwzUSJOMvZOVbk//WuXdywrcbJZv+soHHXWJFa0cNzDLOtPqNFn+u31l63zueJRo8vP37yVbOYr1WiafVo0a0jrw4udea8iIhcSdYcfN5+++00m00++9nPsrCwwP79+/nc5z7H9u3bAVhcXGR2dvbM/Xme87/9b/8bJ0+exHVddu3axcc//vEzwaoI/DhYe6nZpxx41EIPxzGcaPRZ7ETsnihTKQSkvRjHMfTiDM84WAdsDsYZ7ufsJBaTQpqdrkgPbBsN6SWWVj+hYIcnIB1v9Ah9lx+eWqEzyNi/pUqt4GGMYed4iR1jRRbaEUcWOvzwVIt6Z8ByP8XBMF4JX3cP5oXMYvbjYVZ+0T/3sojOnBcRkSvFBSUc3X333dx9993n/NynP/3ps/794Q9/mA9/+MMX0oxcJV4erB3YPkKSWeZaA6YqISMln5eW+6z0Y0ZLHlGaMVr0WepEuM4wKz3HYq3Fcx2CzOAUPNIsJyCnXPSJM6iGHq1BzEvLfXJgpOAxUQrJrWW05GOArzzx0pkZSWMMcZrz3RcbZ2Yvt48NZy9nl/tn3ftKFzKLWQyGJyf1k4xK+Opfy16c6sx5ERG5Iqy5yLzIxfbyYM1xHPZOVSj5LoudiCyzFDyHZjcZzoqGHjftGKXguVgsubXkFvLcMkgzAs9lvBjgYLDGsG0kxDVwrN5lqRUxSDLyPMcxw6B122iRd+2Z4O07RjjV7POnT55idrnH7HKPP/3BKV5q9tk3VaYSeriOOTN7+XoF5l8+i2mxtAYJ9U5Ea5BgsZQCjyjNz5rFnK6G7J4sM7fSf9XXtNYy3xqwe7LMdDW85OMhIiJyKV284oQiF+iVS87j5YCbdo1xZLHDUifCMYZWlLC/VOGmnWOMlnzq3YRnZpeJ05g0h0GaUw49yoFL8/TSvIvl6FKfXpKChUrBp1Z0mKmFWIb1PvdOlrHA948vM7vS54mTK3zr+WHN2kY3YawUkJzOfh8rB8Bw9nK6GvLUSyvsnSyzc7x0Vhb76izm7HKfufaAeic+fe68w0QlYEu1cGYW8+XZ8NdNV5hd7nN4scNMrUAp8OjF55fctF7Wkr0vIiJyLgo+ZcOda8l5vBwwVhqjPUh5sd7lmdkW4+UAzzXkFvZOlVho9yn43rAM0yCln6TUuzHWWiYqPiQ5kTUY4+E54DiGOMvoRCm7xkt044xDL62QZpZ+nOE5Dp0oxXcN1kInGmbFz60MaPUTDu4cY6wc0OjGvLDQ5shSl26cnZm1XE1Amq6G1AoeX39qjoLvMloK8F2fJMuZXe5zdLHDL96whSjJ+I/fO3lWNnyt6DPtOaz0ExbaEaHnvGFy03pZS/a+iIjIa1HwKRtuNXh7drbFvpcl6BhjqBaGweUvHdjKWMnnxXrvTFD2izduBWtZ6Sc0ujFRkjHXiuhGKYM0Y75vSWyMYxxCzyHNU6wF301Z7ESMFH2em+tQLXjM1AKO1XukWc62kQLWGJrdmIX2gO2jBRZaA35wcpk9kyVeWOiy0k8oBx57Jsv4rsOzsy1ml3u897ppRks+7UG6mu/E6iq6XT3yM7O8WO/xB4++SJzlbBstncmGn1vpM1L0+IWfmGGsHFDwhztjBknOfGuwYTONa83eFxEReS0KPmXDGWO4Ze8EcyuvveT81w9sPZOB/vIlX+DMtcOLHf7PvziMMYZBkp/eE2qAYcAXuIZekrHSi+knGeXAZakbs9xzOdHo0U8ySoHLfDuiHHhY4ESzx2I7IrP29AxsQOAaRoo+W8aLOAaiJMN3DN852uCJEyvMVEN+tNBhtORTcD36SUY7SkgyS5paPAf+6vklqgWX67fWmKrkVELvrGz45xc7vLsyzjefX9rwmUbVIBWR9aYtPlc2BZ9yWdg5XuIDB3ecWdZ9rSXnc9W4nKkVsNby4A9n6cYpM7WQ2ZX+6VlOB8cMC85nGDzHEKU5UZpigCyz9PKELB/OTEYpHF3sYRyL7wzLMkVZRtFz6Sc5y72EwHOIs5xywafRbdAeJNS7MVgYL/tsHSmSZsPSTk4R3rplhCTP+dFcG9dA4HosdmJGiwHzrYj2ID2zpL+aDf/kiWVemO+Q5DlbagXSzNKOUr5/rMHsco87bt65bgGoapCKyHrSFp8rn4JPuWy8vL7mWv/aXWhHzK8MGCkGREl+OsEHcBzSLMdxYBD/OMjMLCx3E3KGJyR5xpBYS5TkxGZYpL7gOQSuSyV0SXKLYwyZtfgOpLnl1HKfa6fKrOTDmqJZnvFiIyFKc1b6KYFnaPVTfNelHLpkuWW6WqDRjQFDtehTDFwW2xGHlzq8ozyGwVD0XY7Ve8zUQnZPlPnRXJt6NybJcnzHcLLZJ/Q9/of37l2XmYDNWINUsyYim5O2+FwdFHzKZWV1Jm2t+nGG6xhmaiHH6l1cY0iAgmfIckOUZkQpDA/hHNaftwzPgrcML3qOIcuHGzSthV6SM1H2mKqFrPRSxko+gySjH2eErkOe5zT7Ca3BMEmpF1v6UUqr//9n709jLb3O/D70t9Z6pz2e+dTMquIkiaIkUuqWWrK7PcewjSTt2AaMi3tv4g9JECBf7AAJ0P0hgL8kMGADDgwHMBDn4uI6jh3DceLudnvq9tDdmloSRYkza6468573fue11v3wvHtXFWdSpERK5wEIklXn7OGd1rP+z38oaUUBWSEc0+/fHbPdi7m43gKFjPxjg1agUPSTkMG8ZJpVKBR3RymTrOTR7TbfvzMmLS1rrZCwFVLVjuN5wW+9dMhXrm7y7CMbH9qxf7v6pHmQnqImp3Van8w6pfj87NRp83lan/jy3jMvaorK0W+FdCPx5Ky8onYeraCs73tnag2hVtRW/s55+ScyGustzoNq/tw6x7wQ9OzSRou9ccZgXqJQLApPXqekRY0DisoBnuN5SaAqKudRSuG9Y1HUeOcb9XvIdidmkpV4LyjqcF7wvdsjispxb5yRlZbn703QSnFpo7160Mah4dxawvXjBV+/NuCZS+sf+UP47QRhy2N/OM359Ln+x8KD9BQ1Oa3T+uTWKcXnZ6dOm8/T+kTXEuW6cTzn1jBlmlWc6Udsd2P2qgq8p6hlHJwYMMZgNCSBYZpXqwYUoHaOBx93CiitpxUaLqxLI2O9p3KeeVnTCg3tKGBe1MxzeY8o0Cjl8UrwVWsdSkFtHUezgp1ezBd3NvAebr2+4PYwxVrPoqoZZSWb7Ygz/ZhJVnMwyenGAVnX0o7u36qV9fRbIYfT/MfyEH4vgrCPiwfpKWpyWqf1ya1PIsXntD5YnSYcndYntpYo10v7UzY6MV++stnEceYkoeZMx7DViUlC4W2e7Se0Qo3Rml5iUEphvUR01lYU8QCBUXiECxoFmrP9GO/h5mDO3jhHPWCZVFQ11jpA0FK8wzsAaVqNltdrxQFn+jFrScCtwYKXD6YoBZ3IkNU1eIVzUFnHI5tt1tuhiKSsjNl9Y9y0TEw6sxYTGPWhPYSXCObNkwWH0/xNKUtLQdinz/WZZBU3B2I39elzfX75mQtEgX7b3/1x1ftBTU7rtE7r41cPUnzeqj5uFJ/T+uB1inye1iey3grl6sYBX7m6xfWjGa8dzwHFejtiVlicdyij2V0LKSpHUdmVAeeyVdIKjBZlvNGKQAtieWeYUVnHrKgBTyvSIkgKNR5FKwwo6woPVBYCI69jvScMxOA+1Ip2FDBMK14+nGO0oh0aitqhleLyTpu1JGJvnPGd22Mio8lrR1V7LLDTjdFKMclKAq3ohAG19Ssf0B+l3o4j+QtXN4kCzd1RBsDFjRZ//osXOJ6XKyFPUVm+cWP4seBXfpioyTsJlk7FTKd1Wh9NfZIoPqf1o9Vp83lan8h6O5RrsxOxcWWTc2stXruzx1/8g1f57VdPuDNMmReW8+sJaWF55XCG0RqFxSMj9tAotNYoJ6hlNw7IK8s4K3Ee2s1uO9SQVW6Vz145aWYa4FTsmUpLHAbEgSavLe2mqT2c5MyKmjjUaIX4iZaeWV6zKCy18zg8lzfblLXlcFownJfcG0uufW0dVmueuzNit5/wb1895muPbXNxo8XhNH+oUTzTT961YXo7juS3bwz4v5+7R209aYNCbHUivnJ1kz/z+fNc2e5wZ5jyT56795HwK5cLzf685tw059x6+10bvA9LGPVOgiXgVMx0Wqf1EdUnheJzWj96nTafp/WJrHdCuZRS7PZjbhnFI1ttPndxnbyyGF1xMi+JjCQe7fRjTmYFWeWIAkVkdIN4Cpr4yGabc2sJL+xN+dzFNZSC33l9gFHQjSOyyjLJSspa3tcoQU9FZOTJa7vim87zmv1JThxorDdsdSJR22tohYZJVqGV4txaQtogc5e3uljnGaYVkdaEWuGcNLFn1hI+fabPKwczXj2cEWrFK4dz8Rvl4UYR3rph+sqVDf7Fi0fcGqQ8vtulExsUirJ23BvlvHY0ox0HfPpMF5RiMC/55y8ccDwv+U+/eplv3Bh+JPzKB3m8d/ZSXkhvc3Wn+64N3oeBmryTYOmVgykgx/9UzHRan+T6OKP379Xz+bQ+2XXafJ7WJ7LeDeXKSktkZNS93ElDyqLQHM3E2F2smRK0gsBo0tKujOkBPn2uTzcOePFgxtl+wu1hSmw0tXMYDb3YUFlpQFzjH+qB2nuUB/ArzqcHsrImCgytKKAdBwRGM16U5JWlrB2x0RSVwzrHJK+IjKYdGZJQc7IoaFXCW93uxTy23WWjEzGYF/yzF/aZ5zW7vYRz/QQUq0bx+smCXhK+qWH69o0Bv/b9ewzmJe044GRestWNeHSrw7WjGffGGYFRaESxn4QBFzYMR9Oclw+m/PMXDhguyg9dlfpg83emF1P1DGut8D01eD8qavJOgqVHtzv85g8P8Ar+1NNn0Uqv/u5UzHRan6T6JFiR/Siez/Dxbq5PS+q0+TytT2S9G8p1MM0525WHThAEq530jeM5odFkZc2Z9YQnd3q8dDCjFWpAUVvLorLY2hOHmrK2aAX3xpn4h2oYpZZRWmGUIq8tGvAanAOjQSN+oZLlDoExrLUChouK0Di2uwmzvMZ5v/INrZynqKy8nlIMFxW2sWa6utWmqD1femSDy9sdekmAQtDV68dzFrmltp6tTkSrUcVf2DAcTjK+c3vE2X7yUMNU1o7homJvnEuC0npCVcPtwYLbTcM4yeX7ZaXj9jDl4kabdhSw1oqYZBUv7k2JQ8P59bderN6JX/ngwvBgdn0San7v2smq+fPeM2q4vL0kfE8N3o+CmryTYGleWKz34BXzwtJP7nNtP64WMKcL8Ce7Porz90myIvugns+fhOb6w6xP6n1+2nye1iey3gvK9WQcrW7CB3fSi7zin3x/j3vDjH4rYKsTcjAtaIeS9X48K2mFmm/dGDKcF4DiWzcHDOYVRgtPM8KQl5a8EqV7HGqsd1gHKBEseS+pSKFRBErRjgxxYOjE0pjlpRU/UScK+dpDXTriUNOJDJ1YoZUSOyYPvSSgn4SrYzDLa/YnGQ6PUpBWliSS0blC0Mq8yCkqu2qYlg1rVlo2OxGvH815/XCOMRprHcNFSeW8pDsFitrBoqi5PUx5ZLNNEhpQovRvR2qFPHsvvNXKugY59m/Jr3xwYTiZFxw3yvPtXkw7NNwepnzmbH9FXXjwfL/XBu+DoibvROWo5MTKd6/dm/7+42YB87O2AP+01Udx/n4WrMg+Sc31h1Gf5Pv8tPk8rU9svRPK9eXL6wxuzx/6eaWEz/j7t8cM5yU3BgteO5qz2Q3JS8vNkwW19fRaho12xL1RRmkdW+2QwbwmLS0KWBSWUEsjohqeZ6gVrSTAeTFFUkrRCjSV85ztJ+z0YsZpycE0Z55XhFpRKEVl3crkXiEcUKNEONWODM577o1SKgevH825vNVGNQjm8bxgb5IzanietwYL5nnNTi+mHQVorXA4nLvfMM3ymsGiJDSKk0VF7R219cQBDNKKrLRYD857SutYa0WNY0DN8bzgTC8Br9jshFza7LA/ydhoR9w4WTwUAWqd5w8+ufMQv/LBhaEVGk7mJbO8bs4NRP0WR9NcLKjigLXWw4+n99PgfRDUpBUZIqM4muVERhMGeoUyLxtqvCIM3uww8HGygPlZW4B/2uqjOn8/7QbuPwvN9YP1Sb/PT5vP0/pE19uhXM45Brcf/tkHb9ZHtjrs9hJePpxyZ5AyWBRYB+vtgG4SMMkrklBzYS3h2mDBoqwJNDjAOrD2PiqnFYKYtSNq56mto6wdZeWIAo1Hmr5eEnI4LTmaFWgFUSDIpiKgcg7bJCJZB/OiwnvPOKuaZtDxvTtjauv57IU+7Tjg+7fHjNOSonZNvKclK1OmecVjO12c82g0Wt9vmCrrKGsZ9ReVY6MVAYqDaUFZ24ZH6+T7eahqS2UdrcAwz2s0GUkU8NT5Pk+e6fG/fXPKt24OSIKArU5EHGiGixLrHMezgrujjEub7YcWhse2O3z39pi8tFxoIkePZwXDtGSrGzPNaq6dzHn2Yp9F6RjMC+Iw4O3Q1PdbbzemKirL8bzk1YMZ3cQQGsNWN+Kx7S5rrQCjFF5BNzZver2PiwXMz9oC/NNWH+X5+2k3cP9pb64frPdznXxc67T5PK1PfL0XlOvtfEH/QHebe5sZ//rlQy5stPj5K5uMFxXfujmgrOHmMGXeNIBxAJVTaO3RDZ/TIs2o1x7lHXXtKKxfZch3YoNRcDQtKGqL0cK5LOrluN6w1Y4orCUvHc57CuuYZTVZZQm0Zr0VMs0qitrx/btjrp/MSULDNJMGNVAQGUOgJU50MJfmth0ZgkARB3rVMIVGmuFpXoGCjXZEUTmmuYzqnReBFHjCxmt0lFastwImWUVoFI/tthinFf/yxUNuDhaMFxXtyOHxdOOQR7baPLrVYZiWqwfggwvDvLAMFiVrrXD10OwnIYuiphMHpKXlzlBiSw8GJe3FkNDot0RT363e2Gi+nS/p5c0237wxADxr7ZDaiqhsb5xxPCs420/41LkeoLh+vPjYWsD8LC3AP431UZ6/D8uK7ONaP+3N9YP1fq6T7U74Nq/yk63T5vO0fibqwZsVJc1XVTvCQJNEmn4SUllBHivnOJwWkmJUO+FDVo7aAt7LWBkRFCkE+dTAvHIoLwbzGo9HsdYKWe9E3B3nOO/ZbcfktaeomyhPD7V3Tfa8vDaIOr4VGtaSkMGixHpYbwWstyOOmljN0GjO9RMK65jmNVlpMVoQvFuDlF4SstMTc/rv35nw2E6H2nqc9QwXJbu9mH4Ssl/kbHcjjmcFeW0bqynhqzrvmWYV1jmS0PBzlzcIA8PhrKAbB7SigCfO9JjlFVGgeepcj4ubbRlVN6lHywd+XgmKOpgXLIqa/gNj9SjQzArPhfUW40XJq0dzJmlJR3m6sWGY1m9CU9+t3siHKirL0ayg3wp58kyPJNAczwu+ee2EX/u+HI9nH9lglFZcPxbbKq0Uk7TiTD/hP/3qFZRSH2sLmJ+lBfinsT7K8/eTMnD/cQliftqb6wfrfV0np83naZ3WT66WN2teWl4+mDKYl9TOEWixM1Io8spyPM351o0h06xCa0VRO5yTfHbhcso/odagPdZ5nFJERqGBrV6MAia5qNUDrbk7ytE0Y/alEh7oxQE0/EjrHYtC+I9GS/MZasfAig9pHGjO9Ftc2mwRGcOrRzN6SUAUGsLQkJaOeVFSW/mcRsHVnTZfvrzF8Txnf5IJmlhZFkWNB9JS0FbrPMp7sso2n9mhlCIwICIbuLLV4Y9/Zpd+K+SVwzmP73Sb8boY8q+3IsZZyeG04MJGi1lek1eW4aIkLWrGacWNkwUv7c+kuZ/l5LXl/FqLdhRQ1nIujIZhKijxJIORtSx8xqM7HZ4+v/YQmvpOC9gb+VBJoPnGjQF3RynnXMLxVJr6waJkUdTcGiwYpQlXtjtsdmI22hsrAVVRy3GJQ8OZfvKBxEw/DQvwR/Ud3svrflIVve+3Psrz93YizUVRcfNkQSs2PLHT/TC+xqp+nIKYn4Z0pPd6nb+X6yQyinlRc3OwYJjZn1js8dvVafN5Wj8TtRy5/v7hjNp51lohoQmprGOcloyygtp5nr83YTgv6cYBhXVo5am9oJteKfCe2kFsGnW6A6M8OjAUtaWoLN0kZKMlgpyzazG/89qAJDJ477F4OpGhspZ5aenEhqISIctSQ63xOK+Y5jLuDxS0woBObNBK000MCmkwDyYFvSRgtxsRasWitHjv8Cge3+lycbNNKzK8fjQnMJqvPbZJNw75/VtDXjmYcW+SrjiqSimCpvGNAkUcavLKUTSK/p+7ssm/euloNepZFJaTWcH+JJMHpPcMFiXDRYFHkRY1tff8o+/cJWu8TGvnONuLyUvLYF5Q1ZJlvygtvSTghXsTTuYVF9YTHtlsczycYOKAyrr3NHZcLjL/9Pt73BtlfO7iGlppplnForA8stnmaFbwO9dOWG+FrLcijFbEgWEwL/nm9SG/8OgWG52IfksQA+s8NweLFdr0fsVMP84FeKcbsdGOePlgyuO7XfqtEMX9lKsPugB/VN/hvbzuR338PurG9v28/kfdQL1RpHnteH7fcYKYf/nSIa8dzz+UY/vjFsS8mwPKWivgiZ0utwbpx3ID836u83e7Tl4/muFR/Prze+SVZTJMGUT3+AOP73wsJjRw2nye1s9I7XQj8tpxMi94fLe78ryMA8NOL+ZompOXluGiIAzEpmgwL3BOFO0AqpmzeycNqfMebaAbh/Riw8lCgjqT0LDba/HspQ2+cWPILBeLptrBorR04oCdbsJJgwp6hIu5kYQsqlo4pM5LWhI0xvSak3lJOxLhS2Sk0XQeWqFGa41DCOdFbXHeM8lqnHfcOFlgtBaEsi2j9p+7vIVRituDlDoQZDgONAr5XqE21E5Q1HZkUKqJDW1GPcNFyWuHU0F+HfRbhqy0HExyFrnl8lYb6x1newnP3RkxSSueOt9nf1owSEs2OxGVc4zmFXk95+pWm7JyYnkVGS5tdmhHhl6s2VhvcbIouXYy55lL6287dlw+vF+4N+F7d8Z0ooDKeR7b7uK8p7KOfiIo6zSteGSjTRwaHJCsNgQidvpSZ2PVtP0oaNOPcwFefv9bgwU3Tha8djjn4maLT5/pE4f6A3NTP6rv8F5eF/hQ3vud4mU/ysb2/b7+jyNecinSfO7OmP/7uT1UDx7d7dIOgzcd2/NrH6zJ/aiFb293Pt/OAWW3n4D3/MuXDj+WlkTv9x57p+vk9aMZ90YZ5zfabHRiYqO4Nh/w8v6Mo1nxsVHBnzafp/UzUcfzkiTQbHVjTuYl/SQkCrQ0InnFVi9GLyp2exG3Rxl57egmIWGgmTcjZOfBKEVoQCtFHGnW2hHd0DBMRR2fN6KiZx/ZYJ5bbpzM8YDzinakKa2YyTuj2elGTNKK0jl6cShNXqZYbwd4FLO8pqwtRmvJma8dR7OcJNBsdEIOJsWKDrC0TKoRq6TNdsRoUbI/zhksSrY6EfOypmpoBFlZs9mJyCvLvVFGZUW41EtCenGA95DVljUTcq6fMC1qRmlFHGjSshav0MpxdbvD3XHGPK+Z5RXWe9Ky4tWjGeutiNBojqZCHfju7TGbHXEEcEYWorr2VE68QU8WJY9stRsrqwdN3EWQNJiXHDeLyVv5h65snKKAThTQbwUcTHKmWcUTOz1C05zL2hEEGteMoZJAkwQSPLCWBAzmJdOsaqJGLXvjjGcvb7xvtOnHqTx/OyeHu8OMg0nOU+f6fP7S+vtebD+q7/BeXvf3rp0A/Mjv/XYN4FJk9lFtDD5o0/7jipd87WgOCj5/cf1tj+1/8sy5d32dZSOYFrVsriPDorTcOJ5/JMKpd2vo3+iAMkpL/u2rx+yPMzY7EZudiMCoN52HnxS144PeY291nURG4VGc32jz7CU5r845WqHm4k6HG4P0Y+N2cdp8ntbPRGWlJQ4NP395k5sD8aScFRWB1pztJ6y1Qr51c8iXLm/Qb0UcTHJ2ezFxqBmlFfdGGUdT8f20TtFODGfXErpxyGAu4p9+K2ReVBzPCo6mGXuTgrJ2REZhvVj0TLMalHBJlRJleSeJ+NTZnoymrePiZodAa24PFwzmjryWyM1QK/bHOf1WQGQM1nsUisGiJAo0lXVY71Z/d2ckEZlZaYm7MYHW7E8yfvvlI44XBbUVdNU6R7cVsNEO8V4U81optrsxO11puKZFzUY75Mp2h+/eHDKYF41gSLHdibg3SpnmNVopotAQGPECvTVImRc1O50YlKITB+SVJdCKz13YYL0Vcme44FNn+3zn9pjPnO1y/WTBwfRhlWYUaCZZwbWjOU9fXMN7j/d+ZUa/snHa6bA/ybHOU9aOnV7E8azkYJax1Qm5frIgK2sCraicxyNodhTI+Stq4d5+99aIeVEzzSo6ccCV7c57Ejo9uIDNi/ojW4Df+J5v5+QwPV9x7XjO5e0Of/6LF9D6zR6lb/zcDy68H5X6+r287ot7UwAubLQ/8Hu/XQP40t6Ef/XiAf1WtFqk4cNF5n6Upv1HjZd8t3o/5/WdatkIPn9nzM1ByqKs6USGrU7EYFHy5Stbb8lJ/KDCqffa0C+/g/ee3/zhPt++OcQoxd1xRqD1Kkp4ySH33r+lC8aPAxn9Ue6xN14n86Lm15/fY6Pz5mvl4+Z2cdp8ntbPRC0J2klk+NLljYfSeHpJwP4kazw5FZ89v0ZVO2ZFjVIhG+0IoyAyio1OxCgt6bdCrBMOFsD59YT1dkRW1lw7WvCtm2MqK41gJzFYJ1GaRe0orcN7z6IQRfuZfkhk9ApZ7CYBRmkubbQprSOfFZzMSyIjBPNObGjFAdsdaY7T0lLWFqU8odJsdyNCI5zM41nOopCmdr0d8Y3rA7LSCvLbEhRzMKtp8nu4utPBOY/RknCU1469kSRBXdxocXatxUv7E/YmGaFWpJWjrCyTvAJgpxfRS0KySnxEQ6MwWpFbR9sIp3S3n6x8PUOjOJqXuIMpd0Ypw0VJvxWgELTaWY/zvlG552Slo5ME/H+/fmu1OESNqr4VGL57e8zJrGCQFtwdWdbbId045GCSc3WrzTyvGc5Lkshwd5hyEhlio9loh3ym1+e14xkHUxFDbXUSnjjb43xfHu7/5/fuviMa9kZEJi8tt4aLD30BfmO93eKllGKtHfHEmR6jRcnxvHzLBeedkKQHqRZvVR/kO3jvuTNMOZoVdOKg8YV4eKGUEaJduT68VbVC09ALZgBvas7eqQHc7SV859aYwGje8NYfyiL9YTTtSil2e/Hq+B7Nig+tAX3Paunq7c/rshG8PUw5nBZY69hoh6Sl5WCaM8lqfv/WkK9cFQ71g/VBqCwfpKF/7vaY33r5COdhuxvhPOSV5fYgZZKWfOpMn+fvjHn9cE7l3E/ErP1HdTh4kIN+82RBaf0nwu3itPk8rZ+JeiNBeykmAZpGsOaxnS7zvKLdN1zZ7nBvnJGWNdPcM89rnr64zv/jy5f4ly8eYrTYF8EyLahcNY8XNhL6rZBxWrKzkzApKrRXXDuZ4zzgl4uHjEMK63j9eMHZXkRkYurak7uak0VBUTk6kaG2jlFa4pGHZz8JuLjZoqwdF9Za3BymRIGnlwSkRc0wFXQRPKO0Yp5LelFW2sZ+ScygPIpHtlocTAqOZyXdOKcThzjvGI9KRouS0jp6SZd/++oxnzrT5+pWh3/2wwPSQlBc731jkA9pYUnCADzktdAJrIV5Lib9ee0wWriXd4Yprx5OWWtFPLbbpbKee+NMnAaUop8EHKaee6OMe+OcXhLw1ce2OL/efmhx+PkrmxzPCwbzgrxyrLVCznQTXs9m3BqkGKOItGJvkuOdo9cKUF7SpbKFnIN2HHBntODOMEUrxdlewsXNNo9stum1QvC8I1r1ICJztp9QW89BnTOYl3z75oBfeHT7Q1mA36p+lMXr3ZCkX3x850NVXz/Iy331ULhp59YTHtvuPnR80rKm3bzmW733cFHy4t6E/WkOz8NmZ/AmpOqdGsDaSWDBLK+Z5fVDsbXvdszeS30YlkkfJR/1PavqQ8O4+bMH0fEk1PzetROGC9kgWuvZ7ScopeglnqNpTivUnMwLXj+e8XOdzR9Z+PZ+G3rvPV+/MWBe1JxbSziYisWba2KPR2mJUpBXjjP9hC8+svG29I8/ZHbIK/cjIdBvN114Pw4H70YN+CTZTZ02n6f1M1HvRuTf6ER88ZEO//T5fb5za0wcauJAEwWadhjw9Pk+/89fuMylzTavHy/4d68ccXuYAiJaMkZhrWOwKNhoR3zmXJ9hWrG7llANHTcHKUYpdnrRarTrvBDhy9qjNZxdS0hLx/4kY5bXLMqayGjJaK8saWnpRILazPKao3nZjJ/FuL4dB7QCw9FUxv1hHGC0YrcfM5yX3Btn7HYTUMJlnBXCa4zbEds9z+1Bxp1hhiOjqCxaKXpJwONnujy62eEff+cuaePVuchFKLXVDgmNZjAvKK1jVlTUzrHTS6isIzCGJDKcpAWkcGuYEmkRTJ0sKra6EV+9ukU/iXh8t8e8+d5F7djqhjy6prmZimDsTz59ls1OvEKtd7oxR7OcH96bcDwrmOc1FzZapIVlmJbEgUED07ymcJJHf24t5quPbbE3LpgXNVGguDfKuD1MWUtCtFIkoebaScrNYcq5tRYXNlo8tt19y8VtyXX7Vy8dMVyUbHViXjmYMViUlLXFOsfrx3PaUcAvfWrnQ1Gev7E+6ILzXpCkV49mXN5q88rB7E2qWuccN47nPLLdeYgG8Xb1YKN7fr3FJKu4N87YbzYcz17aYKMTrY7NU+f7AG967+Gi5Hu3R+xPMq5sd3jqfJ+8cg8hVRc3WtweLLg1WDBelHSTgM1ORK9R/4dGpiB5ZVfRs+/lmL3X+iDn5MHGYpSW/LtXjxln750v+lGp6veRc/etW+NVI1xbx+1hyiMbbQZp9VBghEKx1oqwviQKDNeOFlzcaLPbS34k4dT7beiPZgWHk5w4MNweZFgviOAyjGNe1LxwTyzrnn2g8VyWUhLQ8Zs/PODFvSmB0R94A/BOG4mLG633dC6KyvJ/fOfuO25GPkl2U6fN52n9zNQ7EfmX4oN+KyAw4lNZVI5pVnJ2LeaPfeYMj2x1APiFq5v838/dZZZXnOnHTePpyWpB3VqhYZJXQrwvanb7CT/cm5LXlnnJKv3o6laHrzy6SWg047TkynaXmydzfrg3YVFYzvQjvJfYTK0VSWSIAsXBLKcVGkIjHqW1deyNc4oqb5J5FBvtEKXFlLQXB5SV5WRhmZUVTnnSQkb1NAiA9cL9PNNvMy8d3kOgpRFph4Zv3hw2TZ/YSRltUMozzWs2WsEqOSmvHPPCEgXys4vCUtQiINrpxSitqGu3igV9ZGONIBAUdrMT8cwjG1w/nrM/ybh5krEVQr8V8tS5NZTSfOfW6H6GvNF0IsM4LRvagbgEHM+l+e5EAfOlQwGSF185zySzfPnRTa4fzXlhf0plPShHEopjgGsM/dPKsijrlWjp8xfWKWpH1iQwLa+j4aLklcMZa62A1w7neA9rrZC1ltApZkczvnN7RDs2PL7bI9DqQ01F+qALzhJJOruWMCvqVehCLwlWSNKtQcqfeOoMh9P8oU3b3jjl+btjFoVlktccTqRZ/Npj22+5KL9Vo/vgZmOcVrx2POMzpr86Nl97bBvgofduhUYQz0nGubWEz55bI9CabqxXDfOv/2Af7z3/8oVDXjuar3jQmx0JF/jchXXW2yKsm6RVk+j18Gf9URfp93tOHrye8spy42RBaR1fvbpFJzJv2nC9EYH/KFX1h4uaf//cHpO8XjXC98YZR9OcrGne11oPI8dRoAmN4sndHq8dzRnMCo5nBUYprux0+JNPnXnf6O37beiz0opFHp55WbHTjVcuJ6GRycrtYUoUiPjzjSX39ZyDScaljRa9OMB6z0t7k/c1jn+36cIvP3OBJ3a7vLQ35Qf3xlzd7tIKDUeznINJzmYn4pGNFv/kuXtvyV1+/XDGH/n0Lo/udNntxW86r0mgSSvHteMFm93oY5HEBqfN52n9jNVbEfl3uhH/6LtyYz97aQNg9bAPtOJolnNrmPLlq5uyGw4Nu72EvU5BXjtKK2OctVbYPOAUh5OCjXbAOC15/WhB7Tw73ZjSOqZZRe3gaF7w/bsTzq0lRIHmj39ml0W5xbyomRU1aVFzZ5QTBYpeFBEoRV45ssqx2YpQSlFax/m1FnnlmGUVWWVZbwnPUWsZd98aptKcIQ9kayUrPjSayGjSqqZquF2186y3Qh7ZaOE83DyZ843rQzyeJDSAonIQBp7AGJz3zApL7TxZw/H0Xh7u1sE0LwHFI5ttnjrfp6g9s7zi5oklqxyvH83JK8dWL+ax7S6bnYiN9gbjtMv14xmXQse+i8kqyw/2JtTWiYq+FVLVQkWYZLKwJKFmr2kUtYLBoqCoHUlgKJWjHRkq63n5YMrV7TZPnulxMM050yAySajRyBgsNIY2iqJy9NYDZnnNy4dTLm+2GaUl//6149VCEBnN60dzbg8yKuv49NkecYPORIFhrRVyZ5jx9WsDrh0t2OpGfOXqJn/m8+dXi9fboVbvBc16q0ZiuXjtjzOS0HBxPXkTZzArLcfzgr1JxmhRrUIXlnn2/VbI0UyQ/Dd6Q768PyMta6GXZCXjtOL14zmvHs75z7525U2L8luNTN+42bh+vGAtCfnshbWHmqYH3/vGyYL9ac6V7Q6fPbe2GtV775k1KV//1/fuUTvHPK8JA4VxGoV40H7/7oRZUUtTF4to8GhWoJX6UC2N3o/n5BtRzqp2EsZgHb937YTIGNJK7NM6kZFNlB3zS09so5Ti+tGc337lmNJazq+33xElfeP19MvPXFgJbd5KVV/XNT88KknDiifO9FbHY70Vst2NGaUVeS0b2SQM8N6T1460qLHO04kNlzdbbPViBrMS6z3DecHXrw8YzEs2OtF7HmW/34a+FRmcl3PRiQLmpaUVsAIL5k2cbxxojuelpN898HrXj+ccT3Nq53ntaI5SC0Kj2WqHzIv6PQnS3m268NydEf/Tb73OTjdiUdYczwpunqTUzmE9dJqG+x999x7AQ+K4snZM0orXjxe8uD/lcxfWuLrT5auPbj10zxyUNYvS8+XHe6c+n6d1Wj/JeqNJ+OE0f9PC+CAnVGv10Lg1Ky3r7YjPX1jj7ihjvRUQGEMcahSKWV5y/XhOOw7ISxHjOO8b2yRFYDQ73ZDaexZlzd1RhlYwzio22hHbvYQvXWlzd5iyKIb0WwajNXllWaTVygg+MApXe0zjB2q9p7biy+m8ZzgtmRQ1de0AGe0Xlae2Dq01SajEisMrtIIwMCzKmsp6Njshd0eZIGJWkI3AaBbNoqJWPqma2GhA4Rr1uHWenU5E5QJuDISaoFcNT82dYQoo1lsRtjm+S3RxOXo1WhDIVwY1t9IJi0JGfTv9mF7iiZtNQN+HjNOKynqeutDl2tGCvXFGWVsqB/1EUNlxVmGUot0KOJ4XXDte8PSF/opzVTkx2t/oiGAi1BrTHF/nPL044O4w45mL67x6OHtoMXHON+iZR2vh/7bjgLSw3BmlZKVjqxOx1Y347Pk+s6zmcJpxMiu4uNHi7ih7WyugW8N0hYZZ5zmzlvDVq1s888j6Q4veg6j+Unk8TAUBjo3m1jDlylbnIbul0aLk1skC52GnF69CF5bn4snd3gpJWiY7HU5z/u7v3MA5z3Y3YqMTExq9Cmv47q0hO92I//IPPfbQ58uqtx6ZPrjZuDlY8B9+4Txfurzxpu+23DC+djiD5+Gp8/0mBlYQqmtHM/YmGfdGGYN5QRIZunHIWitinJbU3qOc3IN3RxlfZ8CXr2zy57+0tTrGb2dp9EEteN6L5+QbUc5uHDCoxEItMoqXDmaCxLdDQq3IK8M0r7k1XPB3f+cGRit+cG/KNKt4bLfDTtfRjYO3FOG83XX2C1c3+UNP7rzl9zuaFRzMLU9eSR76zt3Y0I4DTuYFtXUczwvaoQRHZJUlry29OOTr1wa044Aw0Fze7tAKDfuTjH/63B6ldVze7rDTjd/TKPv9eqDu9mLOrCWUN4dc3mozXFTMixpXC1gQGsWTZ/pkldipne3f/46zvObuKGWwKGlFsoGMAkNVOw5mBUYrnr8z5g89ufOOgrR34qmO0oqDacEkrTj3qR0+d2GdvXHKv3/tGOs9X76yxWO7XY5nBf/mlSPaoZGmvxdTWcf3b49JS8tWV+zrAqN5eX/K/jjll57Y5ecvb/DUuT5JADdeS/kjX7xAEHx8Wr6Pzyc5rdP6CdX75RK1IkMSGs6vt5jnNWll6RuD9zBKC14+mLIoLf1WQCsy9BLD0ayUsVBoOLsWkQSS2lNUjtgowjDg1cMZf+hJEXgcTHLujDJOFgV7YyvjYCceoZWS/HalZPd77WRBYR21803zUKA15KV4fkaBIo5C5lmJA7wD5cTfNNSa3EqDst2Ncc6TFrV4dxY1y0Q2rcTjNA4UaSGip/VWSO1Aa4/yEIWaWVbhPNwYLVBerR7yJ/OCG8cirooCzdWtNifzksNZjlHS/BzPCq6dzLni2/y7V445WZT4qgATM84rNtsR07wmr1IeaZKbZkXNle228OQWJc9cXGMwLziaFWyFwjed5hXdJKByDmMVrdAwyyuKWuyrhgsxvZ8XFevtiLRMGWcVSSAMzdp58qomMIoL6y1e2J8+tJj0koB+IrZS661AvEQbVLGoLVrDWitCa8XxrCSvLK8dzXjlcM5nz68xywV1fRC1+vaNAf/ku3c5v9FmtxczXEh06e/fHPJvXj7ij3569yHkFFh5Fb5+OKcbGyobomJox4a0tNwephS1W436Xj2aERrxO42Mbjhuhp2e5mia8/17Y/6jL5xfIUnL7/va0ZwkMpxZa604rHFg2O0n3BtlfPPGkF9+9gJnH0CSWuHbj0yVUgRGsdOLVzY5b6wHN4ybnQF55ejGmuGi5Ouvn3AwzamsY5RV1M6LUt43fryhQdWWyiP3XClRg7/05A7PPrLBl69uvm1z+W7j7HdrTN/Kc/LtUM7n7o559tLGqpm/dZJSWU8UKDpNBHBaWepc0rq+d3vMVx7bRCnY7kUcTgtmec0zF9cJmtdoR4Ybx3O+d3vEb/7wkMGi4Px6i8tb7TfxZK9sd978bKzsm9TTw4VsrgeLkklWM8krhotS6CuA1uKdC3JsepXlK1c26cYBw0XJqwczrPe45nystcOHRtBxaN72eF7caPGLT+zw9WsD9sZiJRcH5i09UJVSfPXqFv/m5SMmWc2Zfsy2i5jkFWlRs96KeHyny6yoaUfBQw3tcFFwd5iijeLR7Y6IKIE4NOwEmqNZzs1BKqLLd6i0qBkuZBM4aOhQSwHj9eM5de3oJobIaLSCw2lBrxG/zYoao4V2lZWWwVzigM+vJcybtejSRhuPTHkio4naEd+8PuC5OxOubndIQsMjmy367p352D+JOm0+T+tnvt4vl+jB8c8XLq1z40R8Q6d5yfHSpqcb8chWh1uDlHYUsN1T3B1Z6toxzWqinhEuUlGz0435woV1bjUoYb8V8s9fOMA7h7WeynmSQFM1naBSiPI9FbRtrRXxyHqLW84zzUvmhdgeGS1pS+3I4JwgiZr7+fS19TgnfNL1dkQ7Eq5qZT174xwDq7z3eWFpRZ6qdsShprKSBY9SKC+WTN57Qq0JAy1jZ+8paku/Fa1sczoNipaEAaX1jLKKcVYTGEM3DrhxvOCV/QmjhTSMa5GBKGaQlozSkp1eQlFb9iYZ/USM+T9zdo2745RWKKhmNw7Ym2RoLc1pHBgudGNO5gWjTBpNFNS15NpbJ8jkzZMFlZMmvqgck8yy1opwXqgIrcjg8AwXJWfX7qMdSike3e7yysGMtJRjsmg8QiWByhAZw+EsBxTdyIBS3DxOuXa0AOCZS2tsd6T5L2vLLLeMMhHKjBYlWWlZSwK6iWFvlPEbPzzgYJLxHz9zcYWCLr0KS2tph4apqoVn2yiQj2cFtXOM0op//uIhw3nBFy6t8+rBjON58VDwQmU92nmebEatyybr2zeHHE5zLm62UajVmNU6v+IaH84K7o4yzq618N4zzCxrZc1GO2Jvkj00fgRBFg8mksiSFoJi7XQjjuflm5qQ5b330v6UnW7EN68PuT5YkIQiDlRekPTaeiZ1zbywYvelFO3I0I7Fg/L8WouNdvSOzeO7cfW+cvU+avpOPMsHPSe/dXPIOLuPmi9RznPrCYO5pHg9e2mNrKyZFzXtSOO8wnlp6LSGW8OcUGtaoaaqZdKw0Y7oJfKZf+uVI3pJQGXlnKRFzQt7U8ZpRTcxnMzLFbXi0e0OP7w34Z8+v8d/8uwFzvQfRjjl2lVklSUMJNnsudsjQdzaEc555kW1CuGIQ01kDKaZzmx2JGji+mDBeifk+vGctLTs9hKK2jFaVLiGkvT83TGvHM64tN5inNUP8UMf2eq8iRcLsNWN33ISsKxnHlnnj356l3//+olE/6blahpQRvCDexP+4JM7/Omnz/L16wNe3JuSlpa0qMSqrBU2Dh0CHChkWpSEhnFWsXgXt4J/9N27/N61AWUt56IbG65ud7i61WWwEMs35yFsnBcGi5L1VoQHTmYFL+9PeWlvJhvUSJ67aeU4nOS0IkPWFWFooDWLsub1w7ncj16OTWg0L+/PyKc5T30m5cpO720/74+7TpvP0/qZr/fLJXpw/DNKS54808U62J9kHE0L+nHE1e0uoTFoJcrKyIhtSVU70rJmkmmMkrHwFy6tcW69dT8/3Hu8c8xyS2AUidLUDapgNARKUVp52LejEPDcG+csSktkDAUO5yTqs9M8sOZFBQo6sQiUktBQO7FmWpQ1k0wWkGX+unUQB9JcgKDDi9ISaMQbESiahpNQfEwjI5SCVmTYaEV4vHAw84qNVkDtHNNcrJ480uR9+myPTmQYLCrKyrI/yWThUvL6B7mjryzrLfFQnWQVrcgwySoubbR5+vwagRFD/D/x1BleO5ozySrcAYzSmu1exNle0lAGKqwTG6hJWpHVjj/45A7Xj+e8dDClaOgJ3cigPARasdWNuLDW4tZwQV47fve1E145mjPNK546218hTGutgE+f7fHKwYzaOSYNsrrTi9juRNwYpARasd4KuDfOKWqLMpAojXXw0sGM28Psvn/sLKcdaF47WshouhVyMCsYpyXTvKKqPYeTjFcO5/zHz5znU2f6WO954d6EXivgxkn6JgVyPwkZLioubrS5ebzAes9nz6/RjoIVkjXNy9WYt9WM+R5c9G8PUo7n0jBttGPmRf2QfU1opFECWXx/9/VjvvV6ytrwDpWVRm+e1zy+212NTF87nHI4Lbg3znju9pgokGYxCQ1xg5g+2NRd3mzzr1485Ouvn7A3zfBOYZ1QPzxCk3BeRGbeewKtsV6QpNBotjoSdjBKS751c/iWtIYvXFp7E1fPe3nt9VbIqwczfnBvwoX11tvyLN/ILffev2kEGxotSGctE4G7wwwNjNOK2jumuQgIJ5nCxqEg6UrTigKyJv92+fu180yzWpK6Wj22uxFH03y1qX1it8d2N15RKw4nOb04ZJKXvHgw43CSv4lvu9uLOds1HExyunGwah7lHvbieZwErLdDisrRig1newmhMUzyknle8+hOl8G8ZH8iaWvL6zIKNMfznO/dGnE0L9gbZxSV49x6Qj+O8Eqaw2/fGPAffv48NwaLN20EDiYZ//71Y7Yb1PyNpZTiz3z+PEezgm/dHNAKDBfX28SBoOaL0nI8K9if5KvfmRc1t04WjLKKYVpyd5SRBIbtbsSFDZm4pGVNaBTjRcnhNH8TQntnmPL/+b0bfOfWSBxFAqFDpaXjhb0pR7MChTSd59da0GyCFkVNvyWUnbvjlDvDjFlRivg1F4pV7cQrWtdwNMtpRwFn+hIRnZaWc2sJw7TEOU+3HfDYTodvHB/zjRtDLm93PzYI6GnzeVo/8/V+uUTwZj6XNGKicu635N8KUVhPs4okEERQKWiHARfWEkrreGSzw4WNFgeTjLwZjU6yii9c3ODrNwbEaAKnyBE7GKM106LCaLXaSc8LS1pWaBRxJErlohZLpOGiblA+T2gUKEFSXeXQChaFo7DCA62tk9G6MdTKNxnxyCqOoKZNVqh4e1pPGEj0pxFZKUoLuV8phUKx3grZn+SMfE0SeaZpxQt7U5JQxB6fb5THs7zmpf0p107mrCUheeXoxwHzVEZktXPEoaj9L26IwOoz53qst0OuHc/59Lk+z1xa55lL6/zSE9v83d+5wffujGkFmqy2VEWNUsIznWQlG52YSxst/oOnzvDPfij+oqGR/PNpXrPRiTjTizmaFvzOtRO2OhFfuLjB2TWJGn31YMaN4zn9VoTRjXWPUbRjQyeO+dSZLq8dLWhHhnFWUzvP5c22NNm1oxUIGg2QBIphWpGXFmME3TueyYh1nNX0Y8PdsTR5eSXCMdOgeTdPFvxv37pNEhi2urHYafVj5nn1JgWy+NHWzLKqEVvIAr7kXd4Zptw4WTDNK8ZpycDDP/rOXfLa4bzn3FqLdmh4aX/KwbjgYFLQiQ29OGwSoxwns5JObDie5fzu6yfcHaU4L04GUWgoasskK7k9WGC9oDvXTuakhW34x06cDLRwBH/x8R2SyDyENi5dKdY7IbdHGd4LSq2QZrNy96/XZRMqAQ01Ze3IKxnB/rtXjxml0mzvjzOGacm3G1rDz1/ZZJJVK4eLWydzXj6YMckqjIZxWlPUlse2O6tpyYM8y1//wT4bbaFiLFHRbiLI/IPCll4SkARGuKwKpnnFrcGCtKpJAkPtHArFvBFTrbcienEg0wsU652QrU7E/iQTMaGXycTS4/d4VhAFisp6JkXJroqIA0M7crxyMCMKNI/vdEBJc/RWSUFP70a8WoT88J64DPQTSQI7mRfUznN2rc3BNANgtKiwVtTuWsGioTTVTkRIi0L8fj0yUdqf5BxPCxktNzZud0cZW13HE7tdgk7IrcGC//nfXuOpc/2HLJHea1rUxY0Wu72YtVaEUYraOajhka02VzfbvHI443/6rdfYbEcNRSpnsKjwzoOSh19RO+6NM+alpRcbitoRGc2v/WCfzeuDN1Exfu/aCS/vz2iFht5myL1xSlo6uefKWqYgXnFuTcSOX78+ZNH8+TSvKCondndazrNWCtdQFbyHsqFZlXXOk2d6nO21ePFgylorpGwmEfNms9WJNJttza1B+rFINlrWafN5WqfFB8tTfqtos3/47du8drRoxtOGnW5MXsmD1aAoLOiYVeLQVifiuzdHvH68oN8K+OcvHHB7mK5Qim4sClKtFA4vPpze040Nx/OScVYBis1O3Cy8Yi3UCjSFtdK0BRqMEtFSaamd7J4DJVxOkAeacx4TaNqxqMJt7ogCGZ+Vtmk4m58DGQOe6cV0kohfuLrJD/cm3ByktEOPQ5rTvKoBT6BF1KQNjQL9wex2aaLvjlKM1jyy2eLmifjyGQ3tJKL2JVXtKGpPbb2IhKzn9Ya3eKk5D7u9mLNrLf5fX71CJ77L/iRDAa8fLShrh9FwYaPFZ86usT/J+XvfvE1aWn7pyR180wwtwwWyxmppqWDvt0OMUZxfa/Hy/pTDqZj+P77bZVFYbo8E3Xx8p/sQ13W9HdKNDIUVzl9slAgyEvFvFRGXY7MTkzf8LpRwc+vasT/JSUKNbxaeQCtwgkCfLEoCozjTb+EQNfTRpGCSV3QTSecCWBQ1+5OMSV6JAE3BhfUWrx3OeObSOqO04vUjQbXWWiHjrGK7FfCtGwPmZc0femKHTmzoRIbHdjp86+aIsrKCUhoZc+eVJQoVm52I/+v7+8zyCgOMpjVDO6SThJxfS0iLmnHjSPCDe2MmWU0cKDbaEUWtSC04J3ZW37095IuXN9jpxhxOM/6P79ylGxuevbRBoDQ/vDtFG0USivtBVlar62rp3llUllpLE6c1BFo3KTwF00zsdEStbeg35+Tr1wd4hMv66uGMF/en5FUjGNQKvEdrzfN3p/SSaKW6X3pD/usXDzi71uLiRmuVJX7jaM6tkwU7nZiLzfNkuCgZLgoWpdwnrqEveAe1l/drhQbroKwF+fd4jFJsnYvoJQG7vZjbg5SDaU4nNiilqZ3n+vGCcSbBF0VtuTfKUCjOryWczEu0EsZuaT2RMay1pbF9sJkDONMJeOoz5/mNFw558UCaZLGuEtpCZBTzwq58XluRxihNWlYUtUwz1lohNwcph7Oc47ki1IrRQoRg/WT5jJPNa6gV06xif5zz+Jkuu72EF/enDNfKD5RGdTQrmOb16h6vmufA3jjnG9cHXDteMCsq+kkg13GDQq+1QuZljUJ480XtGc5LikooQpffxmM2CvRqfF854fULb9wJfcFovIMgkM1GaIT21E8CsqLmzijFOs/ZXsyksOCl0VZK7NDySiyk8kqmZBc3ElqxTGBKjXhKa8UP7k0IjWazHRI19+fHIdloWafN52mdVlMfJE/5QSGE957PXlhrHvolu0FCJw64tNHmeJ6TljUO2b3u9hLOrbV4+XDGYF6w3Y35ucubVM7xw3tTXtyfAIJuxZHcpmm5XHygqKUBrK2nkxj6rRDlYZKVWAWTXAQXtjGg977pZhBEyGj5d17JgzgONd0oIAoMT57tMs9rXjmcUVS2AT6l8fTN7/cSQy+JSKKAk3lOaR1fuLjBYF6S1RbdIKmzwjaLuEYB/VgsWlqRoagcrx5Nubje4uX9mTQ83QiNahDjEuUlOakfh0ycLJjH84KtbsxwXlBYT2wc/9dze2/yEPylJ3f4jef3+K1Xjhkvo0tjg29L87/TjXn9aMbhrODJsz0CreknIVe3O8zymluDBQfjAu8VrxzO2ZsUbHZCskI2Dq3QMC3EB7RuCP1Z5bg9XPDYTpeLG5JAtTfKOFmU2KE0zqFRdJOAc2sJHlkcw2YXMMkqKuuYFjXzTMbZo1Q8Yy0QakVWOhQ0GwlBlJz3DGfCEZXELsXdUcpaKyArHXdGKZOG75pEho22oKKvH89ICwkMkJFfyDSv0cAkFSeGynp+65Vjnj5f8thOl0d3erywJ5GWWSkq90BLI3N2rcVmO+K7t4acXUs4108Y49mf5syO5jyHXENGwUY7bHixnqxSFFNREbcjoYTM8prn704alDbEKHGm+KOfOQPAOJPGWytFZDS1c1ROXnuJeILcA95BO4RWHJIEhh/cnWCdfC48IrbzMCuEQ9dVimle8Rs/uMesEJujfhI0oh/XpPx4ZkXNtZM5X+psrDiw144W3B0Lv3eYliv7qqubbe6OMr5/b8z5jYTRouK3Xz7icJoTGMU0E8uyuCWJW4u8wnklwjij0UqxKCusEz738Szjd14dkNWWtKpXzcV6J2JRyOZJa1hrfFsnWcUkE8Gba2yQ8toyziqubnfE35WHm7ntTrh6Nv7ZZ85z43jR0FFi2qHi3712wuE0AzwK0HhB9LVYsQXKMkmb9+zG9OOAWVGzKGSzHgYitpljV3SgdhySlZaTecGlzdaKP3o8Ldgf55xdi5nnduX1247MO6ZFLQWl7VAmNNeP53z92gm3R6lsTGQvRieC3Dpq6zHao5Q05daJg0An9AxSSYq7tNHmqXP9N3nMfv36gJ+/vMHRrOB4XhAasfBqNX7M80ZE1G5s68qmKcwrSzcJmvtX6CO18w1IIM197T3GSECI1iIUTCvLC3tThplMK26mMhV7dKfLWmNHdzDNSRcVT3fcxyLZaFmnzedpndYD9UYbpvf7u197bJtXD2d89/aYe+OMzU6EapTiO72YL212eHS7Q+0cP9ybiaXNmS7n+u1mJC/I0ssHMpoe59LEpqXl+smck3mBAepARmvWQ1HVHE5kt75E0RoAVBZiBxaxYdKqUesHmk4ScDIvCbQsLjvdmGsnC9LCMs9rauspa79axJWCQEErCogDg1JwphczXlT8cG/CLz9znqfP97k9yoiNND9VLYrbThKQlZY40LQjUYcfzjK+eW3I7ze+e3ltmQeaacPnzCvNNPfEVoRXk6yiHUmj3Y8Nd0YZnciQNkjJNKv5xvUT/un37vL5S+t4D9+/O2GclvTbIVutkFlpeXF/xquHcy5utOnGRnLPZw+PQ8dpKWPWoqIfGba7MUYr7gwzjucFV7Y6XFxvceNkAR5OZmVjZq45bhCYG4OUWVZhnW/YCh7nHdZpaifK1rUkXI3TRqkotVsIDUIhjbcog4UGkTaIZzsw5F54Z2lluXY8Jw40Z3sJWe1wePLSil1XZUVsEsuI1yiFd4p5JQ3uy9mU0np6UYD1gPIMZgXjRrUfGkHoXmu4rle2Opxdi6lsyNG8oBeHRIHQLDTw8v6UaVbTi2uuFQsOJzVKe7EKqi1Bo+w9OS6p7RLxEuVz1XjQKqXF0suKgMs7z+FCXAwWec0sqlfcw6NpySwvqZ2kfWkt16ltrLbW26HwZK1nkddcy2dYBGFrRYLgGSUc7CCWpvNgKnzFedPoGw3T3NKJjPANy5rayWcdzIpVROedYcaLB1O8h24S0Esetq+6stXh1aMZ37g+kASeaU4S6RXPdlFY4lBzoZNwayCIXGQk8MA236+fBIDi5cM5vUnBEztdtruSYubxbLVFiGedJHZprWmH0oQZ1Sjma/EwTgvLRgu6kWEwL4iMebiZa5rPO8OUb94ccTIvOJoWtBvu+Mm8ZLgoCbU0ybJPl89RWU+gBSVdb0d0ItOMhAWVDgNNaGBeSiMJilYom9Q4lE3WYFEyzWQMfTDJ+fevHmOM0FyWdJdOs5maFzU3TxZvAg0eFJQeTXP+9UsHHM9LrHWraYJDRJxRoBuAQIRcgVHo5rulhUywIiO0phf2p1xYa7Hdi+klwapp/8zZHpOspLaOfhIJJcXKPd6NA2Z5xUle4ZVaOXicLCSRrRNJGEJkNLNCuN1pXeOUQqOwGqzzxIoV1al2ntvHc44bNPupc2t04nAlBOxGhr0TCft4KzP9n1SdNp+ndVofYl3abPOffe0qO719vnl9wMFUiOxbnYivXD3Dn/n8eS5utHhhb8osv40xinle8eLBdLWTTxoe5Sy3RIHh9nAhDdKiaB7MmsAYSmspS0dVe5yXUUxgZNfcTAYbk2XQzQNWJuYyFjdKRohGK7Y7Mb0kRAO3BguMBnzz8EV4dEpBOw7oNsgEyB+eWUuw1vPC3pQzawmjrOLVgxmjpvEqmwSmONBc2Yqb93crk/zddsyZfsztUUZWWEZpRWmlOawKaSyHaYX3ngsbbb70yDr3Jjk3BzOcb0bwtWecCT80qywvH865sN6iFcqxzIqalycFqhmHF5Xn3jhlpxsxK2peO5xxtp8wSiuuHc14YX8qKUylpWwSmOIgYK0dcm+cMckk2nSSS0Sp0YqNVox1oob//p0J/UREJh54cqfDvbHwucrakxYVRSUxoO1QGvl5IZnZeeWJAyMLU1oxbpCiJf3WOkdaC/1ByAvCB6utp3ASYlA0C+vhrKCoHN1WwHY3Zr0dMs9rprmMGc+ti//jIq+wVhqcg1necNpU408rG5xxWBI1C383CdBKEOorWx3ujjNBrgJxcQi04nCWiwoeTy821A5sabHOYrQotT2SpKWVBu0aJMgTGtc4MsDBRK6dsrYy4jyYsd4JG/6gRilPWsrvQnNZahmVbvdivIe89qvReisMGGcVRSW8OOs8O72YyIiaubLS9ChkA6cbekpZL9E5UdYDLHKx6aka8d31Bkm+tNmSaQT37auOZwXzqubyVotZLgbhDi/czSZxaW+SkZeOcSbRlC3rcM1niEJFoEMe3elwNC0ZpCXOOfamOef7Mec3WsK7VrA3ybm61cZ6mGZCDzm7HhMZzXBeMmloJUloOJkX/Parx8RGs9WN2epEbLRDZnnF799K+dadjMn+LWoHnznXJ6/G3B4uqGqPMUIJKq3DeodGuL9ic0XjauG4stmmcp689mwC47RgbB0KjfcSG5xWttm+SINVWcfeOMNa4Uq65n4ravn5K9sdAq149VC4qyxFam8QqC0FpS/eG/P83QmTZqKw3FTD/c1KVjq0lkY9MEAlwsskkGdrZDTrLXHqeP7OhBfuTTi31uL8esJON2GUluyNM8LGaWSWy3tVDW3JeVgUsskMjaETWvrtkFYYU1ixfjvTb7HRDnj9cM4sq7EOvJK73zp5rtfK0o4CAi1gyeO7HX775WOUgmHjH5rXToRo1qE8VNZzPC9POZ+ndVo/rXVps81/+UuP8svPnOfuSIj4FzdaD9mYdGPxndyfluQNz26Z2jPJK7EeSgRZfPFgyiSvCZQijg0eWWAiram0mKmjoHKCriWhxht5WC1HSq1QN+NN4R7VztOJnPCMKivJS7nw8Bo1w4pzaZSmWqpjuE+78kha0eXtNpFRXNpsczQtyKtaRrfKQ5N0pJSMl66dpGy3Q/YmObWV1KTLW+JHN8lEIR45tRrnJgaKWhayjU5EEmievzfhaFrgPcxyQTxr71Y2O2GgqWvHvUnGTi+GxiqqqB2tSJOEhrL2TLNKFKdGvPS+d2fE4bQgzWWEGQeioK5qx+1ByuWtDoEW14JxWjJqGpQwEJGWURqH+MUuyhrvHdPCNoieWFN5BJmrao+JPHXtiGMxtl9vBay3o1Xjk1WW2jtCDQ0NdHXsVXNuvfOE2lNUigJHkhm2uhGzrEJruLzZ4WhW8NXHttjtJ7x2OGOW1bQjw8GsYJSWHDfiB1l8Rfyh8FglEYmVlfCAaS7IcyevaCchtwcLnjzTpagt1np2ewnzUkQ9YSAcNO89XklzqRHldl46rLYYTYMegmp4zdLmy0IpmylNZMTnsrLCQb52NGO3F3EyF3QpCjRZXUMzdXWA8TIILpuxclULd85o4X2GWqOVcIjHaQnAdi8mUDBalOAUUaiaV5OjbrTQXGoHZ/sxw7RkVtRsWAkX2J9kgsbHAevteOWBKudL3AYOJwUXNxJ2+zHn1hNeuDshCGR0XFS2UTVXjFMZXYRKPmu/GzchFZrjWckoK8HLJiXQ8Ohul61OxPfvTDiY5szyGtugpIN5Id+vI2Ijax3H8xyFHFetFYnRlNYxmOccTHNCrbh2vGBeVByN54RhwdMX+jx9fo3IyGYrjARFVcoTBRrjNCBisd1ezHYvxjnHC3vCmd3pxWx1I0KTMElDJvmkSW0KuLzV5vqJIL0axLrNeUYLceToxQHzoiavLRutkKySAAejFWVlqa3n7jjjy5c3CAL9JuHUVx/d4vu3R9weptBQA4xWVE6uM62Fq1E3FA157nlK66lqxRxLOxTEvqg9uqhX1+QoLTmZFxT1iE5kmDe+p5FR7C9KvId2pFcpXLVtqESJIQoNs8JS1J5LGy3mRS3iplHGMCvxSsSFIp5rQADkeei8Z60dS4xos4FZFDWDeUlRW+LQNBSfkCqvuT1MuX40P20+T+u0fppLKcXZtdZDRtsPVhIKEjLLay6sy8+sxiSxLBi9JOA/+eIFui8GlLXj+smCVmi41tidtCNDm3DVRBkDGom3NEgzGmiFcw2RH01l6xUHsxUFKDzTouba0VwwGOW5sNZikJYYrTHNmMdoeQBW1pOWFUZLYxZqzVosAhXhkjlmuShaN9sxo7ymrD3dWGO0JqscxwvJYo8DzfmNNklkGMzERH2UClqK9yg8Z1sSKdpPQh7d7hEYxe2hiCusE6sZ6+V4tiNDXYmtFcjnnjeCLOHNyWIzL2ucU9QNwrXZiVhvCS1gklYYIyjITi+mG4eczAsmWcneJOPyZguj4XhS0Yk0j2x1GCzKJnXKk9XCFS6t42QhaK3RamVFlIRGRmXe0Y8jCitoXlZbrHOCyNUerQQZESse4aguy3v5bg/+/3IxysqaVqRxKFqB4bPn+xy9eszLB3PKRrwUGs3dcSbNTmkJlCIKtfBNnajGQy3jPK3E19BoGasPF4Uc6ziQkAELg0VOFBiGackkLWWsroUDWFkZs9ZOELzaueazQtwgq54GxdWysC6/qfUQKbEPmuXCR/3Ubo9Xj2Z89/YI60RN7ZwHpzDKExqNbZA3EKRHxr8iuOtEhnYUsCgsZSXHsHJCs6isiARr50li3cTEynVbO3GCCA0NNUHRjQKhSYSG4aIgLx2bnZBLG23mZb0S4CwrNILir58XW6y1JKR2nnuDBUpBWrgVapxbS21lgE3lWDRuDb0kIA7EpNw5QfuHacn3bo95bLfL1e0OxgjqfDTN2ejEPHW+T1ZYDqZ5QyUQUVYYivBqpxsTBDLGPp4X0hwBlfNc3kwYTBVKwfN3J7x8OKOsRWSktBLlPXK/bHQCTKPKfmSrTRwa7g5TAqOYFzWP7XaJA+EcrrdjLqyLhdmsqLAedrqxhEjUVgQ5RjWWcII6r7dlhD0vZHNbzsvm3pI0qFf2p5SV5dx6i0e3OgwWBb/5wgF//NO7tOOAL13e4F+9dERZ1Sg8zi8nP+IG8sAthfcijDQKAmOorGVmLV4pFg13f2nNVqaOfiska8RJR7OCvXFO5QQJDgIJBSmtXPtxKCN0o2WD1o0l+vNkUXKml3AyzzleFJS1Z7MdMliIGE01z3XdbDxdJXzvtGwmFpOccVYRGU0/CWhHInhdb4fsHxdkzvPDvSm/8NhptvtpndZpAYuy5mRePuSXWDYig04c0IoCLqyL6bYGktCglFpxCZVWxEajtPA7K+voxAG+soAgT9Y2CFQjbImM4XguZtXbnQhQpGVNXjmGacnVrTZbnZiwWTgOpzmLQsaOBCFJaGQMFWi+cV0U0S8dBOz0hD/XSwJGzS4/CfUKgQ212DuVtUMrxZkm8/nlwyl5JSp462VUPy9qbpTQiUM+c66HVpo7jUgg0Iqiut+oLEq34o1FjTjDK9+kPlmcg9zK8aq1jN7lZ4X39t07Yx7d6vJLT25T1Z7n741Za4UkYUAS6MYIPWcwK1YjxqySRKui8lgvZtmREcHM4bTAekGBFKIGjwOzSixJjGG3H3E4LWmH0lwaLeIw23irWu+xTbxnZFgFBSz/WToVINQvaWAqSz7OaYUG7x3fvjliMCu5OUh57WjacHAl7rATScOYNCEEsiDJe2slfOKskmupHWpK61mUlrSwPHmmJ6r3GyOeuzN6IENbNgGTrGKjHVJZT1EJmqNoXr6hhNRLhXPjoVnV989n87WE++k9wdIXMzCcXWsxXAiaJ+dWGtd2YLDer/ii5/oJDjiel3QjuQY9wl9dGnE/uASny0bWi7ArNPKdrZPRuPXSGFa1Y5ZVBEbx2fM9/uLPP7JSMhsj9mqvHczfZNx/Mhdrql94bIvffvmI3789AqAVGMaZWD5pLRu8yvpV019bGbcGRjUhBI2YSEHUHLu8site6ePbHWa5RPU+fWGNyjq+dX2IAtZbkqy204mYF66ZhohAUCEewrm19BOJ87x/XgMO54KoxqFhu5uQl45RWqyM1itrJUrTSFM7aRwNokAstmrroHH/Ug3f8e4opag9145mgkLiaTXODtYJxSQOpcnPSsvju23ygWxcvfMrqkXhHGVtWeS1KP/HGXFgeO7uhGtH85XjQC8RmypC5DM5T1ELx3N57Xnu80CVkg1r1CSBhVqjmjxj7z1pE0ccGI338tzuJQFn1mJunmTEIay3QrpJyGBegvKMU5kgRIFCKy1BCFoxy4QKM81q2kGAbmkR52nwTVqc98uNldhZtSLDoqh55XBKVoo1XpgoSudxRS3/bxRZBRfPyH3zcbFbOm0+T+u0fgKVV47tntgwvXIwa/hzBrxiUYlf36yoOJqK5VNgFFudiOsnc7z3DZ9QxopivRSw1hIT6v1xQS8xKKC2gqZ4Lw+kJJSmw3mYZ46kLbGam81I7tZggcez2YnZ6sLBtODxXRE03BwsyEvL1e1OM1713BmlzItaUo605fXDBWVtV2bppmn0jNKrzGexrJHm6vZgwSSXNBejoG4Uw0YrelHAoqxQWhEouDfJWBQ1kVYiqnrgeGqEH+iV8F+TwICWxcAhvEK7at5kwYkCRe0URV0xyysGs4rhouArj25xbq3FwVSoASeLshnvV2gtDgT9JKCsJQmqtl6QZaWIIyMNWlnhHASRNIUeaRatl8ZVORjMSyLTOAEoie4zWmGsp6wdqrG2qp2YS6umaTNKFh6lFEkgySZlM8qLjQhnklAzyWqm+Yx2ZIgDBQ6KyrEoC9qRobJBM8ITG68kNJRW4gKXjeGyQd/pxaRlTTlz7DTZ0r97bcAr+1Nq7znXb7HTi9FacXeYUtQFgZZRpbVC+1gUdrWI540vbmDkuy/5nw/y8NZaYhsUaAkRKGox3r663aGsLa1QaApipyWKaNugVWEoPESlFFVlmTUivLykOYeyaaubZrMdi52RbZDYXhLRTwx7k5y04XN6hP/qnNj1nOm36SURf++btxksBDktak8vDvjy1Q2Gi4rBomRWVATNufqDT+7wh5/c5p/98IDBXO6t0SJgWtQEcqdSVCI6+vSZHoOFRCrmlWuEToLW22YzV9YVYaA4mZec6ccsipof7E/5xSd2KGrHD++NeXFvxslCxvRLUVYrMsShXCvtWJwXauu5eTJnXkjcadXYWygvlAvvFUo3G8O8Yl7YpkkWH9U4kHOMt5zEBUkTPlFUlsJaXj9acGVbEtnGacntUUonDug38bPHswKrpMnqtyShqRWKCf84k3vzpT3bcBkti9KtrpnlJuK14wUb7YBFMxna7QmfvBOH7I0EYc5rx3Ynok49aVWtBH+rZ4kSG7m1ljTSi0L4lXltaYVL5Lx+QAQm/NReEq440RvtmHuBcJ6L2kHDRV/yhqtas/COy1sxtRNj+0VpmTaiytIoqkxeOw504yEtYRxFLU16oCU4Y1FZPILgKq9W60vYTK1uDCwbAXzqTI9Z8fGxWzptPk/rtH4C1YoM252Ik2khjQQy5tFKfBJ7kYgi7o0zLm+1eeVgxmYn4vm7EsEWGE2o1arBU0pyx/NKBDuLXAQbxijW4kAaHysq4jg0lLXlzFrMFy6uN6N0sXFKK0tZiaHyFy9vMM0Ele0lAZudCNsS9GuWi2WIXprJt0PiyJCXNffGNeNUoiW9chQVbLQNQlPztGPNTjfheFZwMC0acr8iCEzjOyg/h1YkRkZuz+9NG24TjOwD4pKmGutLGUd6Ge+GRlMhjaluRqeBAaU1dSWNgvfCwzQIcvPa0Yy9ScYXLq1TWcfLwxRrRcTjPURa1K9KKWonv9sKjSAN+Ib/KHxDj6CxnSaNJa/q1SJXAKUt6SUy1vcNAlXVXiIVnVo1aABBI3Bx3q1Ql+VY2zeIXC8OiEJB2dJKSKJKqWZx1nJurSA801w+ezcKV0I36xxxIOhaGGiWHtuVtcyKmmlaYZRcu845jqYFtffERpJqtrsRSRDw6E6HaV6RlnYl1pnkdYPgamxDIbAeTPM9WpFwZiW5Sz6xajinpXUMFyVJqJtkpYCbJzBISznvDUcvCcWbsags89IyyWpagRav2uY4Vtbj7Bua+eY67iQB252AW6OM4bxglAriFDWpTbX1lE42Mju9mKKyfP3aANNwUpcJQ4fTnON5wR/51A5fvrLJNK+YpCXn1hP+zOfOcbIQ269eHHDjZNHQMTSx0Swqaeg6UUArDrkUi2L99igTocoSBdXglRIrMmCWl1w7XrDViUlCzdXtDs/dGfPdW2OOZyVK+cZcXgzSR2mJUYqNTkRZOwKtyUqJui1qyziVJn24kOtgnJUSAuAECb7bjJhpBHzL59BaK2jEQp61ljSkR7OcdhziEBuq3V7FvJSNyNWtNijFpY0W378zIasts6yScb5WTLOaJJDJTlZZ5oWkrC1R7GUtG9C8shzPpLnKChHrvHo45+nzazxxps/hNGecVgzmxWpTvpwgLSsOjFxriLBsmFXMZjmd0OCbDeJmJyIu5Vh1Yo1znrhBMo3WdBPNeitiXlSrkTgI93OZzlTWlv2x+AbvdCPWY0MSB+S1oOidRNwBWpHhZFEyWNRCsUE2pNY5aqtxVnjnYRxR1SJS9UBeW0IP7SjgYl+cLsrGI/njUB+o+fx7f+/v8b/8L/8Lx8fHPPHEE/zKr/wKP/dzP/eWP/sv/sW/4O///b/PSy+9RFmWPPHEE/zX//V/zS/+4i/+SB/8tE7rk1y7vZjNbsxgMeCJ3Q4gi7/RmjhUHM9KLm62GKUlP391k1cPZ3zn9ogk0JL8U1iyxtpksxOz3Y2YFzICeupcn4NJ3kTGeXpJSL8VEmlRJ5/tJ3z/7oTLW20WzU54rRWy1tJERnPteMGNkwWP7/b4/MV1Xj6YcneUyZjxQp/NbsTL+1PmhW0QESNUABStMKATGUapCF6MEuVoVtUSCxhotroJa+1QLHNK4XvppjtYNpWdOBBrHi8NlkKQqyBUWKFAcX9IfN/XMdTS1NhmFNuKNLpBXUF+wTUKYv/AiuOhMdCXWM6vXxuw3QQE1M5TWDHrX2ssY07mhVgLKeF5+mZUW9WOtOHMdeMAh2dR1k2jKyOwOJBzndeefJbjUSSB0AWquiarBL3zfjl6bjiSgSI0wSqPvvZ+NS7vxQFeiWVVWUtzF2jhlk1SsWCJAk1HGUFsvPiEaiVjXYeIRpSWNB28hASgFHXpKepsleA1zSp+88VDhouKSCuSyJCVguBf3elgtGa7G3F3KOKb0Nec5G7VuGit6CXi81p7cUzIK0cvMQSIKbbzisGiIK/kd1Is662QtXbA4VQy6hdFzUZLGm5RqctmItDQiQzewaO7HSap0A6sdQ+PVFlaj8k1stuLyZvNQ2EdvhbUKVxtsgzGCLIZB4q0EkFeWkr60HYnZLcngrF5XvG710748pUtdnoxX7yyuVJff/3aCa8czDiZ5YyzmrJxGehEAb1EFMxpKT6zS6pGrwmbqBpk2ihWiWnWyTU9K2p2ejHbvYhvXBvw6uFM0PFIHDScl2sijAW5qxp+dj8JmGUld8cZeSUTCN3YUM2KmmnpsE6tNnhi3SYVKI8yQnOY5jXd2NCJxPbo/FrMceOcUFTQaagPs6KmGwec6cVMC0kMGqaSuz7La5SGe5Ocq9uSLnVnlK2srYBVgtUbSyYL0piGptmE1o57o5RxWvLMxQ2+cGmD2sJLh1MOJtKAhgYaR6+VnRzAopIgiM1WyF4pdJuickyR5ri0jigwdGLTxBM71tvBih/cS2ST302CFRVqUUqEcdqMyLNJzvE8JzK6ocKEwglViqISOyznxav1aJaL9Z1vfJoVlE42o3Fjij9clESBohsL5aV2IiqNTcXBNOepC2urmOifdL3v5vM3fuM3+B/+h/+B//6//+/54he/yP/+v//v/Of/+X/Or//6r3P+/Pk3/fy3v/1tvva1r/GX//Jfpt/v84//8T/mv/qv/iv+4T/8hzz11FMfypc4rdP6pJVSiqfP9/lnP9hnnNWstyJakQiLjmcl7cjw6TN9JnnFeitkpxvTjgymQbeOpiVaw/l+C5QnaeyGtPKcX29xebPN3jRjf5zjPPSigDPrCef7wvtZa0mah+SP3/fE2+jEXPVw42TReOZpLm+1efbyBk+f75OEht+7dsLdsfDLlurPQCvaUdjwIWV8aC2ySiKIk8KilSEtrfgXhpqwNuSqFnFFg8B0E0MnCphnJWkJKM9aDJmFsm5MrJUgAGEg3M2qgUKM0atG1jlPOwllkcvrVaJKWduHkA7TNMmlUGQbFFp8RWXBKImMZDt34oCidmSVE8ET8pkUMnpsh6ImXpSW3Dq22wFZrYkDSKu6ETJI87dsLrUWSxpZCBuOo9aExtNuqBhaSSxgJzZiAJ+L2fj59ZZw6RB0MW34sM57isKuPBWjQJqGB224rJPPorxCefFvLRvld94scpGWJj5uvCYXZc2dUdZ414JXrPi7g0VB3iiyjRahRTvUTOYOjSRnaS3IrPjpxsyKmto6Mie+ppudiJ1ewsmsaIzrpcGvnLhADNOSw1nRRLjCybyU8S6eQIlR/tIDcun1eGGjzTirGaeF8PuQJqVlFK1Y7oOqdgzSkrSQhqPtZFNR1g1nuEFIO1EgGeyjnHYkRuFGyfV3OC8ItWmERpA2NIP/91cvc6af4L3nX714yP/vGze5fjynHRnONzG7x/OCtJIYWedYxdYqxC6rtOLNaRvEr/ai6A+VqPc7cUgSaJQXTmGghN4QaLF60g11paw9USC88bQUH9faig9sWgo67eSGZaMVUFpp4gKjsI0PKzR8Yy9NauXk+u9FhrVWtGqwXjmYM3vAdzitxFx9MC+ZZXWDeAfM81oidK2jqC1GQVFarh3NiQNF6cSdwyDX8sMzj+bzwMrbGO67Q8zKihsncn8cTHK+cGmd9U7I1x7d4rdeOSbSasVlVgi/Om04sJ1Ir6g9cSAc1bS0jFPZbHQTw2ajMK+sxGGmRc31kwVGqUZUKXZLSzSyaIIAlnxj13zWyjpiJ9zRR7f7KA3XjxcSZhBpZk1oCEC/JTSJSVoxzMQdoKgd07xunAg086IWhxMnNJ+TzPK5c2+Oif5J1vtuPv/X//V/5c/9uT/HX/gLfwGAX/3VX+V3fud3+Pt//+/z3/w3/82bfv5Xf/VXH/r/v/JX/gr/+l//a37rt37rfTef1v54uArL9/lxvd9pffj1STiHlzdbfOZsj1EqYqNpJuPPM/2YR7c7hFpGftOsZJJV/OLjW7gGCVwUluMmgzgtayZpxZ986gw/d2WDjY6k7+x0I75/d8I3bgw5nBYrRfYXLq2x0Qn5ndcHnF9LAOEWQSMEcY6nL/TY6cb8yad2ubghXnl3Rxn/5Lk99sYZcaOO7YSarCw5npfsdqUBykpRTFsPtl5amUjzU9SOWV6x2YnY7oSkhUQr1lasYAQlEBVvWQtS1Qq0NNfNAmU02Ho5NlWrRRfVqPu9ohsZdvsxT59f49JWm6q2/MuXjrh5kjajXPm+RsnIfWnAL+lPisJ6ssrRDsXyxStBieaFJWvshFwzAluO/IyRmNBp3pjDu/uK9ySSsVdW1ljuN57LzyAWWcLF9daR10JrqJuxW2gUzpkGHbU4Lxyvp8/1GKSVjN50zjAVUVreKGvr5j3EV1DcEJaLnkb+I2wiVI9mBd6Lj+VyjLqMY7VlTekEmU4LyQs3WtM2EuVYN76i7Tjg6labvHDcHqWUtWMtMbSJaIWKrFq2DmJrc6YXi0I38Gx3QuJQM5gJDWGzE3E8K0XZ74T/ClBVDh0rdjsR+7OiiUBslPNeOIZGi0tAvyWbj5e14uJGi6L2nMwLyib+NmiasnlpGc1LlAbvpXHrxQYVKyZZDYpm3BoCimNbUhcyqbDWrzYUkRHRGc05ff7eiLvDBTeOZ/yj79zlmzdGDOdCVyitJQ4U3UQyx2+PJOBheWzx4kThvThWNEmLgGwc8tJSNaK/zTjANR6zm0rR2lCMUvHELOqaanl9N4haKwqaEb6DCqy39zdzXpr9g1khiFzDk7TChBFPzGbu4BvuYdRw0sXcXkRmi9KilAhurEey3cu6CU4Qn+LtKOZ4VpBWFtNYOIG8z6KoSUuaFCFBFG2Dni9R0OW9t5wOPFhK3Rdgeg8H0xx1d0wvDji3nvDEbhfrPQfjjMIKp9Y1CG5tPVnZJFkFTbBA5SitJSsdRe1YFNXKCWH5/kmDwi/KGuegl2jmRSW8avcw/3sZMGz90usWFoXlZJ7z+G6PJ890uXG8YN64h+x0IxaVY7MdNhtgi7UO27zGoqiIAkM/kQ3hNJfpxVYn5lObIf/h589yfi3+yNfE9/r676v5LMuSF154gf/iv/gvHvrzP/AH/gDf+9733tNrOOdYLBasr6+/n7cG4Ac/+MH7/p0fpX7c73daH359nM+h9541lzHOKy4lmtorQg1tVTAbzLg3tVxeD7h9fcKdvYyqJ+k0IA/cHe3pJJ4i9IwyywU1QA2njIcwBvabn/uFvmcUuSaKUrFhFhSUFFnKvSKjE8tCXVlIS+EurbcCRsM5R3cyzChgz3t+62bGrXHN+Z4mcRVpXqKtphPAMHPcHVXSqDQjLE2DuPn7ozKFjEarsuDEyhjJNmjU8SxnspCfrRtkTinYTiBWNaVyLCq3WngCBd45rJUxdTtQRIEjNpqvXTB0Ys9rgxNcaoiM4nK7Zt8s1cuyCDjPqqmhGd27ZmyO85S12Fg55ylK+X6lux8zuvxVhXDMilJ4nUZBZCCrpMmyeU07lMCYrG5SeLQ0FIK8VVgr77WkFdR4qkbMkATyu1WhyawnRBKDru2dUHtBtAD6IazFilHmOakfcKl0UDY8UOul4ZYG2ZMVFqcEcWqHckz7oYzCPW8eczoatFdZykrG3NJ4QZEXLKYVg8xja0fRjEFbYcl04SisIM2gmKcVvtYsCkc/1rjKMS89s8IDfuX/iWOF+AFkjdArNtAN749al3xfOZ/iE6vchKSeU5WWPPd0IsV67JkCBodxjrSUsbDR0AqgFXrmhWeykHOptIQ0VFZRFoWce+8oK9moPXhcKuuoajno/dAynjn+53/+Pe5OHZPcUjpJ/TGIKOTOMGOzVRAHYPDUzbVmq1qSoRAvV2sfaLSa684C3noCZRnPM4ndNJ68LNkbTBllnso//Huq+b1FVa0+t4EHOLCCINdWNjCFciRG/m55MSlYieGcBecsysP+aEE3hHklfpQeSMxSTOaJjIdazmVLW4aTBUWWUXtB2lsBFIEc++W9VVvAWPqhYlKL96Z94Bgsj7t6CzjU+fvWRErLNONgnOI7BlemrMWaG6Oa2nmiBm3VyHsrhFKALZiWcmFlFhpGCr7hTldYvJLrRvuao4klNtAOFd1Ic7IoUc7SjQNiLUESppkaLN1JvJN/l17EkjdP5uR5znbb0A8c07RmtxMQB9AxnnGaMykcunkGyjNXNsPOWUIlx2tce2Kt2AwLPrvbYXz3dZ67++bj9JOq99V8jkYjrLVsbW099Ofb29scHx+/p9f4u3/375JlGX/qT/2p9/PWAHzuc5/DmI+eLGut5Qc/+MGP7f1O68OvT8o53L6c8k+e22OcVlzsJ7Qa/tzBNOeJyyG//Mx5okDzYnabtVZIN37zLTvPayZ5xZe+8Mh7ttA4P815LbvWoK5ihJ7EmvO7UYO6aiZ5xRc/L695OM3xx7f53LZ8hu5mweSFA0apWOoEgWNvmjWImYghOpHh7FqCd56bgxSlFa1A028FzHJHJ9B0E49X1SqNKW08mQKlCEIF3hEmCZe3OigFrx3OOZmXKEXjswftOKSXBEzzGhUYfukzO/wHT53he3cmTAdH7I9q1pKIXrvNmbWMYZqLtyD3F+YH165l4ywLfEC/rRmlFZW7v6jywO9Io6maLGZByKJQxBaFrQgRnmeniVvcH2eERhEFhqBypFVNOw4bRMejjXiSduOI0IgYZV7UjFJpGM73W7Rjw7m1hF4iHMyDSc69Jglo4Q1xC8KqQNl6mRlALT2dqHkj2chklZWcaSWKdJRivKiw5TJi8K2vH6Xui7wqJ810J4lQWrGfa1H1a43TmllesLPWwRtLPi8JGyudPK+ZFAqlDN1OW9TkZc16s8nam+RYXJOG1Yz5kYVaNe9bYcSXFcd6K8Q3iHA7DsR6p7D8cAhKGUrvKEswOmC9Y1aRrWXT2IWBZqMXEweGRV1Qu3o17tVaHCeSJCEta8IAity+yRrK+/tWPQsLa0HA88ee2ik6UcQ8F4/IdmiII8U8q1hYTRgFGFPTMb7x5uyxyGteP14wL2ocNYFilWWvFA1y6fFKk1v5/Nv9mLRw1HWNo1pd30tv1TeezlDf53DGSqEbU/9+Szf2T4r1BKwKV+pu55sOv0H+Aw1GG0rvmdVKzm+DlFZIc9Vs57BKxF61DqgqxywVhH29HUtSmapQWmJAi1qoLR5YWAXK45Ui0F6oPf7+93qrUTxIg7d8/hvj0Eaz2e+SVY5UGVIr7iHGSECEUwqvLFEAm72YWV6ThFp4n5McbW1DYxFkOmgCLbTRPHqmx1pL4jLFH1RzdttwMM1YlJaNbsSdxZTASHKc94ra3+f6BFoAAIsmc5qJDdnsRIT5gjNbPfLKsdsKKA5m5E4oT9aBrWpM48crXHJNHIWc34j42mMb1M7zwvGEP/4LzxIEH73GfLn2vlt9oE/yRs7AG810365+7dd+jb/1t/4Wf/tv/+03NbDvpYwxP9ZG4sf9fqf14dfH/Rxe2enx5750ia9fH3DzZMHxoiQONE9dWFsJFLz3XN3p8vL+lF4SPnSvee85mhd8+lyfc+vt98znObfe5guPbPDS/pTdXkxtReHcSwLwcO14/tBrllZGrp04RGvFTr/FH3h8h999/URERwAoWrFZKafPriUkQUBR2yZmT8Q7krDkxCxbOSJrqGohxtdObHh6cUA3NpS5+IueLEp2+wlBYNjqRex0Im6PMvEG1KIM7yUhu72Yrzy6zbdvjRmlFT9/dYu9ccbhtODuICUtLXEQcG5dszcuVovxsgFdLmJRKIsKiA0KyEL24Oq9/Nl2qEXdbu1KPJVX0viIH6dv7KWE87ZUV8/zeoWchYFmMwqIA83+tODsWsIf+/QOz9+dMi+q1QLrnCCiW92Epy9sYJ3jX+wfUNQSbRmFYlydV6Jcj4xwypbjd928VxLcF2FtdSPyWnwSw0BjjKCeSzufBxHeFdr0QJMF0mBU1pPVjo2W4cJWh5OZCINq69mb5JxfazHJarLSCXcXQYjO9Vs8stXm3khETXiFMVr8HgNNqsSe60GUeolap6VtKAmCnq23xX5pqxNx/XhB5WrKSgzq23FAXlox/K4d7dBwZi1mtBC7HWO0iKgCGSobpbANAuusw2jTeDWK+XlW2oea8+X1s0QYSwt3RwVaK871E4JA41JJ8apqEauIi4GIAheFbSIoLYN5SdjYF1XWrFT50KT/eC8jcrtcf2G7HXK2l/BaOhN3gQeua/sW3Vmz18AYQTAr7+k0lmRKa9ZaEYN5yUkKUSQeqM454ZtqCRLQjTVSaRtucCjP2qKxnVJIo2b0cnMmTWlcC81kUdTMG6pOr6FIXN7qMkpL7o7SVaqPB9ZagVA/Kodx9Yqf/eD9uyytln+nGnN3CdXoNGr/SV4xL+vV866wDmvB1s25NwbdPEu3OkINWYYutCJxDRBXDYkprq3ncFryhYvrRE3EZ2Tk5759c8jNQcqguc6Wx0GQyvufu3JLNNsxSkV4WNaSXjRclOz0EiKtGzGngsb6aun7rADrhIN7tp/wC836McsqXr01ZJDWnN/4eIiN4H02nxsbGxhjODk5eejPB4MB29vb7/i7v/Ebv8Gv/uqv8jf/5t/ka1/72vv/pKd1Wj+ldWmzzcWNFkczsR1qNf50y0ZSKcVXH93iYJJx7Vji0dpRQFqKrct6+92J5N77N73+8jWPG9PhdkP+f6vXbEXyQM0qu0JfH93pstYKeXF/ys2TOVlRs96JcM6jVIBRwmoSpbVqxq9GFk/EL7AXB/TjgP1JRhSIWChvjJof2WwznlQMS8O9UUZeWWaZcBr3bSExft2QwBj6rYAnd7uSR31zxCyv+NzFNbTSXFhvMctrsWy6O+b14wVn+i1qJzzHhzz+oBG6yAJbNspwpe6PPuG+b2igZdEw6r7nYO2Bxv6n1fAni1qi9bRWtELDvKhXPpTtUIRKi8pyMCvoxAFfe2yL7V6LZx4xvLA34d4kFx6jlqSTM/2YaVby7ZtDTublfc6ukq7QOte4H9z/Xh6IQ7H1mjcG1Elo6CUho1FGZR1rrQhnZRT/xn5laU1E81oPOg5EjSVSNw74wsU+aem4V2eSX+5hktXM8hlRoCgq4Wa2ooAz/YSLm5KG000CEXF0JI89CjQns1zG//7hBurBBXsZkShilZidbkwrNCSBJtQaFyxV9p5ObOgpuXfWOyGdSDjG3ThklpcMypLSOtZbAYEOqF1FaYWKEmnJLQ+1Jg4DwtBQvcVxWjY+1su1oJ3wO2eFpB7pBsFduluUtWW4kEbde8VaEjIvLCfzjFleCbPSeXqtiM1OxHhRMCvsfVcDo0jCgI1uwmvHC6ZFTd7QMIyWjcEbWXjLJ4V1DY9TN/QY61GqaTKdXwUa+EbIVrtmzItwkbuxNGGzomajFbLVjbkzTDFKEqc8QkWorXzOUGtq61iUNWeShH4Ssz8pcPgmutTTjgwb7TajecGotg130zNMa5TyGAT5XV4HWsn3FL9YVk4WcbhMEZLX3OxETT58TRSIv/HeOKcTa9ZMSFk7JllJOwrY6saMU5nIDOYFo6xqkrJEWR5o3dAC6qa59xzPC75xY8RGO6QTB5xfS7De040NX3pknd+/NcQ2x0Jr2Uws895prhcJEdGoZmOVlZYzawndJOTKVofnbo/EistowtA0G1jh7oZaghCck7CJlw5mHM0KHtlsUTbxvh+nel/NZxRFfPazn+V3f/d3+RN/4k+s/vz3fu/3+GN/7I+97e/92q/9Gr/yK7/C3/gbf4M//If/8Af+sKd1Wj+tJerftx+ZX9ps82efvbhCSI9mYj7/6XP9FUL6dnVnmK5+r6jFMujKdoevPrr1nl9ztxdzZbvDy/tTHt3uNAbTIpD62qObRFrRb0d8arfL3VHGraGYz/dbYhFjvUcrzaXNhJuDnNDIw3eJEBqt2e0nGAV3vSiJW6HmsPaNGKtikpeUtTygW5FmqyOxgGutkFle8W9fO27U45pubBhlFY9td7i42abfCoGQx3Z73B3nbPdiKif57iIYEC9IpRS++X8aPlU3FmHKoqygFmFRoBTOyCi4asbtK/U6oI1E97UiI96SiEghKy1JW5DSTmRW496iFnFA3IiWokAzzSs2OiGfOdvjeFYQGcU4q5hkNd+/O2acVSzymm4ckldiNC9m4mLppGE1rq4bGGwpJPLNNXd+LWZp764Ru6co1Kuu8sGxrX9Dl7VsspZ0wKoSdfdrRwvSUsy0beNLGhtN6Rp0qXmdwMg51Epx3DTdT+72mOYVrdBwOM2ZNdcZvP1oFZqRshPksx0F4pnqPJudkEUpm6B+SwRuw7Qi0KqJtm0TBdKoltZhlKSMVVaM5K0TDmA3FgukaVajQlGUF5Vdne8Hx9mBkc2Ltw0v0sNh406xQtgb1Ewhzcg0qyVkQilJnQoNG+2AvKyZl8tEL0tVWwJjiAPhUYbNRkkrmOcVaSGK9eU5qV1jOPHAwZPNVRP7WgsnOTSsdhTOyX2ZVU64yQqiUFoFuyQowuo41U5Q5EubHfKqbpBEvxLXKORaFCTdNalJsNEOxdKqaXqdqzmeyQddCpfk1HviMGjez1M6h9GKbksTG8NGJ2K7G1FZz+uHc8ZZhQOKymO0xRhNJ5aUpTiQ7/a5M2s8c2mdf/PyMYeznDjw8gzqJUSB4fx6wp3Bgry2VI3QaUkNyirxJV628LX1TYKZqOKHi5JXDmZ8o9lcbnYinjrbwzrZcBkrtmPO+zch0kZDJ5JnpiuFPPzspXWubHf4zs0RRe3oROLXWdpqhbxWXjj94owhojvwHExzjmc5bScxsB+net9j97/0l/4S/+1/+9/y9NNP8+yzz/IP/sE/YH9/n7/4F/8iAH/9r/91Dg8P+Wt/7a8B0nj+d//df8ev/Mqv8IUvfGHFDU2ShF6v9yF+ldM6rZ/uejeE9K3qzjDl//zeXUZpxbm11srg+OX9KQeTjD/77EX+wpcuvutrLtHXVw6m/OYPD5oISFnVjFI8ebbLZ873OZoVPPvIBqHRvHw442QuSSfdyGASzWBeUVpHHARERhb8MFBMM8trR3M6UYDzjnlheXF/xuGkxivdJOM4rHogC1xJVOJgXoqtSlGz3grR3jKYW+6NM149mPHpsz0+d2GdjU60iju8ut3m8d0uCsjLmtLJAzurLGUl8aNee6yzrCcBae1ZS2LGmWSFVwh3rfT3EYylz6Bu0JFWKM2EUqKGaYUy7l5vRZxbN4zTitpKLnTS+DkWleXuOOPfvHLEejtmqxtxppugtXi/ltYRmoZb6KSBGSwKjFJick2DuFmhIwgipAm8ayydDOvtUJr+UqgAw0XVZFwr8mbM9yCXzsOKk7aK+KRptrXEJ8ahpqgclbXcHiyoPIRKGhRF05BpjVGawHg22iFZE2ZweVNxdi3hse0u/VZIMXD80U/vEoWam4PFKr3pwQZq2fQtsRzTEC6zSlB162TDU9bNJklrzvYTQSQP54Imeri6JTZMB9NcLLkyUYgHGmwzRm41MYbzTCx1okA2DloFZKVtDP+bjCUlG5OyGasuy9GIvLQYwzsaf053v0lbJgItSof38s26iaFyfhUosT8VBbpS0A5lY1NYS1GL48C8qBvUXkRSy+Z3ecw8yw2TRHOqSJGXjtI2x7PZnFTWrfjbpjn3tRWTdNnMyOi/HRmMDriy3SarHOO8RhtN3Bx/5X0zar5vhbQMHrg1TAmMZqMTMMlq8lroIneHC9qxXKPLT269HIMoCEWo2RIzdjG2Dwm0ZrAoaMeG0jmKxs5oGdF53Fh3GS3n8gsX19nuJvyRT+/yrRtD5kVNHGjSsmZvknJruCAva5LQEBuNazYc3rNy84iC+1ZMgZZQhMG8pHJyH2SVE6eOQHEwzSnq5rovBfkt6/tI5LKVDYxiXtjmmSvHurKez19c5/m7EzpxQBIb0mZi4xGBYL2ayshzZpLV3DhZ8ORul3vjjLOxZ6cbve068ZOo9918/uk//acZjUb87b/9tzk6OuLJJ5/k7/ydv8OFCxcAOD4+Zn9/f/Xz/+Af/APquuav/tW/yl/9q3919ed/9s/+Wf7H//F//BC+wmmd1s9OvRtC+mB57/n69QGjtOLxne6qofz/t/fmQXad9d3n5+zn7lvvrZbUki3ZsixL1ovlNcbAJCaYxOC8VWEI4SWZAJNKpZIAWaoSql5jispGqpIUg2tqkjAkYWBCDZUEGCfE4SVjMAa8G9uy9q335e5nf+aP5/R1t9SyWrLUWvJ8qqBKfa/vPfc8597ze37L95t3TLb25zk40+J7h+b4r3s3nIfXr4bQACEHABDy35qms2djhe8fnmOhE7BnY5mN1Sz7p2Tpx81abCxnOb7YSaeoRZoJMNACWbaVN5+I4VIGU4dDs22CSGCZCWg6tmlimWn2I4qZanrkbJOmF6VlXIPF1HO7mrEoZKQW3mvTLcJYcOvGCoYOtZzNYidk50iJrf15Jupdiq4c+JlqdGkHCaNll5mmx0wrJBAys2Ea9HzIe+c4/X9Nk72T9W7UczqRotEm3UhqR2YsnelmQDuIyLsmo+UM1ZyNa+lM1D2OzHXwAumDPt8OKbk2k3WPxbZPx4to+iEZSyfnWL0MSNOLiOIY25aBrmnociJYpKVmDUpZEw1NyjwJqWloafL6ODTb6WWwS65FmPb1aZqGZcibqh9L0Ww5YCR6vYSOpZFzLHYMFRDAjyeaNLqyJ1IHTNNA1yEKo9Q+1qKctTi12Ek9p3VZKtc1tvTlqORsmp50/9kykGffliqL7YB/fO6U1IpMRC/YTNsfMZE9iwgpxt3oBnTTrOuShqVAo7/oUMxY0qbSNtCQQd5Ew2fHSJFGN2SxG/baSyzTQIiQwaJFX97l2HxHWo7q0vPeMg229OfZP9Vivi0dhPTUzrAbijMGeyAVP9fkd0hLR3CcdDDNMjRGyhnm2iEFR+BFAsOA0WqBUsfHC2RLRhgmmDpYupHKP0FWT73P02BmKbO6JOezFHwubRejtD9TDqAlK6bGdV0OuAWRnLzW0vJ1f95hth3ihREa0pBACBkcj5YzbK7l+B/7Z/CCiKGSQ8uPezqiYZykrlXy85q6lp4f+V2KEo1K1qLpR+hAw4tIvJBq3qbpxTiGRiyknmkla2MvC9CiSHrSH5nroOuyP9MxDSYbntwYpJ87jBMQcqjIFTozTZ/+gkst77BvS40XTizyylQTL/1vpMWng2VAN0x6A3ZBurBNP8ZNEjSkFaltSOc4P4zpRjFeahQRC3q2mbGQcklDJZO8Y3Jivs2Rednu4pgacSI3vbJHlrQakvDadJOD0y0Giw5jlSwLnZAnDsxwaLadLurrOzNdk79Rhqax2Al56VSD/rys8vx4osmuscrVq/MJ8P73v5/3v//9qz52ekD5xS9+8ULeQqFQvEmmmz5HZtsMlzKrZjIHi26v3H6u4HMpkE2E4J07h2TZPUpSMWyDQzNtjs53eHD3KE8enufIbJsE2DFS5O68w86RIgXX4uvPn6I9EvHjCWmXGaXTrOWMzUzbJ0i9sU1TDigYhnRwEunEeL0bYuqi56Nt6LKsKxLSIRnpKDLXCenXNfKpE0m9G3Bgpkk5a7NvSw0/jDk022awKIcJ5tpSXD3nWmiaLNmOVrL0FwSHZluEcUQ3FL2+SempHuOkN+skEfTnXWLhQSJj87Yf46S9Zf15R2bhIikkPdX0iGJ4dbIpb4waZEzZl9byY+Ik4fBcm/G+HIvdiIYvhwyiBLKWSSfw0RFESYyuS3EYqVUqVQL8WPrHm4YMHAxdo96Vjkci1SFciqENPbVIFAI9LYP25W2itKd1yQu65UekrYRYhsx41rJWqmGq4xjSetQ15Q00TqMgx4QgETgiIUjtI70woZKz8EKNhW7Is8cX2b2hzHwn4IbhYi/7/nN7x3jhZIOT9Q6xiGApC8rSccj+u4Jr0A6k/eJkvUsxY1HMmEw2YvpyJgMFFw2pCZtzZEm/mrPppKL0uzdWODjVYLLupYYICQMll5H0u+NYMjhP0gDUNnQKrs22gQLPnligEySQgGZomIYsRy8FdcuHYqJE9P6dtXWytgwcM5asBPQ0YW2ZyV/oBvTlHMbGMnz3wDxNL6RWcCg4Bt0oIUkSvFCQxAkTjVj2eJJmVU8LOpdnsW1TBoFh9HrgYujSbjVnazREgqfFaQZcBurpDwdB6lygaxqVjMMtGyrMd3zq3ZC8azJSyjCTarUWbOnIVfcC2kFM0ZVmBZqQ/d+GLq/Fli97FjtRnEqzCaJIBq2RkH3RfpxIf3XbJowDWp7sB13oBix0AyxNw9SlmUHG0vHDOO2tlJ91uOQyVHR5bbrFd16bYbDoUMu7skcztTtOsgLbMjgx36HkWlipPWg7SLBMgySMe9+BOJWQ0jUdyzFki4uuEQXSojNj6YRpub6RGkCEsdSXvWm4yFs296Exlw5Oyi1dxtbRNDk0qGkahiHL+N94YRJNkxqkO4aK1PIupxa9dJgx6WWTXctIHdlkdtaPE+p+SDOO+b9+eJxXp9vnbNNaL5S3u0JxjdINYvwoOWuvT9Y2e+X2c7E8kNU1naKrr3h8KZC9d1v/Wcv4R2bbzLYDwjhB13VagS+niw2dYnrT6gQRsYB6KwA0bA0GCi4LXfk8kFP3ZuqclLUMmrFAaHISVTNkL2GUCCYbPrV0yMDUdQ5Ot7l9i/TXBnq9rn15u5fNzDsmJ6Iu1ZzNaCnDsXR4YmlKVdpjGrimzN7UchZeKG/r822fOJGT7QXHxLINRitZqjn5+odmWmia7Bnzw4RqzqTeTaSAdzr2ahgafQWHWs7i8GyHyYbXG/S6cahINs3u+lGCpsmgRUAvgwiva17aS37wiSwLG5qeZnSkC5OVtdhQzjDZ8Gh4sXQ70qTF42jqnHR4tk05Z5NNezClWoDOeH+OuXZIkAiOzXfoz9vEglQMXKQbApFaQsrsWSeI6aSioX4cM1GXPaJjVZfFTsj3Ds9x2+Yq+zZXeOlUg8VOQClj8c6dg3zzxSmORS1aifxweprlNXWNctZivJaj3g0xdBgoZDAM2W/bCWKKrvRHT4TouTFlUjvYhU7AbNOnv+BQylrs3VRmvh1ycrHDSMnFtQwW2lKOrOia9BdcZlo+jW5AJ4ioFRxuGCzw/Mm6dAJKM0+JkL2iS/JWS5kzPZXEMXQpyj7b9iHt/7TrXemoZCbYhuxDXWiHjFWyDBRdqnmL/qLN7rEKpqHx4sk6OhonFrupp7ic+l8KeBLSkrn2emtI1jF75yIRciOU1QSuqZN1TNnnLOT66MhNXSsAoYVkbRPH0PANnaYf4loGw2WHuhcShAmlrEXBsaSLV5zQ8uQmaknY3lmmOpIIiJOYMJZGBrEQ6JYus39pFrCbumz5aXbT0DXaXkQcxdS7cnjPMQ368w5tX6oYzLUDXEunGybkXLNnWeqFCRtrOfKOxXVo7J9q8p3XZnnHjYNEsWCi4aFpck368w4n5ru9iH3JAWyk5BIJQaMT0AwiXFNOzuddiy19OU4udml2Q4IopuxavfaXphf1+qODSOBa0rWq0Q1lJQVBEAkMXdDyE2xDOlN5qS7vaMkh78ghtyOzbRqdgHaQUMvbaAJpMoFsEcg7Zrq5k4F5xjIgkTqk1ay9ot3qcgegKvhUKK5RVptQX04nkH1OGfvcjejnE8ierTVgoR1wdLZNIqC/4JC3DeK4BZro2SEKHG7eUKLeDlnoBEShdNzRPRlYWbpOK47SCVct7XsS6Ia8oTqmDLD6chaLaSnVMeVkajFjcd/2/t6P7vL+WdfSe5/zWy9P8+pUg0Oz0t5uvC+HZegcX+zghzJDUcu7mIb0Zw9SdxRd19hcdDky15VWd6a0t5M6nF1p9+kYFA15c+z4UW8St+kldIII25K+6Dnb4rp+qbU6XssRxYIdIwXGqjka3ZBnjy1ydL5NEEm/6Z4MTiqPlHdMSlmbRjeiG8YIqclDrGlMt2JagfTXnm0HMovnaCQiwTR0RisZwkhQy9vkHHlDO77Qpb8gy37t9FowNJn1bfsxR+c72KbOlnKWo/NdGl6IhsAxpce6bWo02lKPsJK1KWbk9RIlCUfnuvTlHWxDp5qz+KPHXuXIbJswEalWbIZtgzlsA04semjIieBIyEGm8b4cLT/CMDQ2V7PkHFP221k6I+XX+5ybfoip6+m1Z3JysUvDlyXMjG1QcOS0diljcnRecHCmRTlrYxlSgmyolKGStdPhK5l9n2v72JbB9YN5ZlsBUSTw4wRLT9ANGckt9YJGS0M4IsFE+qZHidT8jAWcXOyiodH2o95ktqHDaDmDpctS+Iaqy8ZalvmW7D2u5eRk9cRil0RIuTRdSDMXkZb2pQSX7A/dVMsyVHB6120UCY4vthksuhQci8OzbWkbKiC0YxbaslwcxAmZpSha07AMnQ3lDDcOF3nHjYM9N6P90y1enWqia9INqu1HNP0o1YIVDJUyNDshJxpd5ttxL4st7WNFamFq9DQ+LUOXJgyJ7Ev1o5imJ0vdRccg50iZMMc0KLomDS8mEVJ1wbV18rYlfzcMkQaCISDIOjptL+K16SYasjS+pT/H9f0FNGQwXu+EZG2DMJEe66ahk13S9dTk71UoBG1PbqKkAYgc5qt7r8ujmWllwTWNNNBMsA2NY/NdEgSOJQeIHEPWJby0XzURgqxtYug63SjhhmHpdX90ri2VKbIWs82AOElef38h3y+MpbxdwTGYa4dUbI2hoouu6712qw2VMyti64kKPhWKa5TlE+pbl/V8grx5TjW8XonzXLzZQFYIwf7pJpYhrQvlABE960gvHbS5ZUOZkXKG4aLLsycWOT4nMxk5x6TRldkWutI3Wb6X6GWajDQTIoT0SO/P2yx0Irb259m1oUScCLYM5HvHdLYg+ad0jR8cmWOi3mWsku1pFza8UA466RoiEbimxmI3JmMZFByTMBEMFDNkbJP9k026UcLh2Y60S+0vECYJza4ciooSwYmFThqkvS4cbuk6OlpvWjtKpM3jUElmB8cqUMrYjFWz7J9qSP3LBKpZC9OUPaVJejNKhKCWtwgigRdGZCyTlh+RtXVcUwYYTS9Kp8llaTOI5DHGQnDPcB8P7Bqm4UV86fvHqOZthkouC+2Qg9NNGp7cILhpwO9aBk0/1d0UYGq67B8MYLYZyAAkdZjqBDH9eYeBgkMriBkoOvhBxP/+H4dp+/GK6+216RZFx+CGoSJhqhnaDWXmp5p1WEh9yV3LQNN1NlRzZFLv8olFj8VOwL7xKjnHoh1EvDbVIkwSylmLkWpGtmDMtIEuG6tZxqoZttRynKp72IbGLRtKTDd9Jhs+cRLTCWI2VbNcP1jAMTQm6h5jtT6OzLaZqHvsn2wSCRk0WY7MHkrrT5m1DWKIkpggljapAqjmbKJYsNiRPcFBLBgs2AymxhPTTY+hkkPONlM1A70XmNVyFkdmW+nAik7G0OgGMmB0Us1JxzYYyzl0w5gEjWLGJIgSZlt+aslopX2JCUOFDJNAFOmy/zKSWdKWH+FYUnO0krX5L5srLHRCso7JplqWTbUcz51YRNdksCWAnGNSdOUmR/b4JvQXbdA1Zlt+ev0KojTQ0nX5Xc670v7TSyfuvVAOJko7VGnYYBo6paxJX1aKwS92w/RalJ+5HUgr3oWuNGc4Mtem0Q3phlJmzDH1tARe4Lr+PNuHC4SR4MB0iwRB3Qupp72aGVMeV9OT5hSFjM1YLUvLTzjoycFKqY8bEUWv90UvZZz9SP7mWYZBJWux0JEVIMvU2DaY5+S8R8uXpfk49TGtZG3KWZt2ENMJ5fdqz8YKQghePNUgG0vnJkPXpC1xJOWUolQlQAdO1WX7QzvUePr4Itf1F86r3epSooJPheIa5WLogy7xZgPZ6abP0bkOt4yV2T/ZZKblU3Ck6PNCR/qf67rUr9SQNaoNZZeFZpuTix6ljE3H0Gh2QxBJKsAt+/zkj7qW2huKVLNQ9CaTrx/I0wniNQfajmUwUHAxDZnVawUyYzdWzYKAQsakGyRsrGb4wZEFQA7xVHIyyyKAmzcUqeUc/Cjhob0bGKtm+N++fYhmN8IydZz09aR4usAKNDqhHJA5Pt8hTGSGJE4SnopibhwuUXBNDsy0GCw4zLZ88o5FnMgsS5SAo+uMV7MsdAK8SCDChKxtMt7nsGO4SL0b8qNji2QsnUOzbbS0x8wxZabQT33kN9cyFDM27711lKFShiOzbVzb6PVNVnM2lc1VBosuz59YpOlJ//CWLwXkXUtnsOiAgNmWjx+nVoe6lOzxIxlQbKxmqeVdcmHMxEKnlwkaLUkzATm8E2Pp0PBj/Djhk+/ewWMvTfHiqTotP6buhVSzFv0Fh5xjsmes3Ls2C67Fvi01Hn91mhdONbjnuj4m6x71bpg6RxnEUcJcMyBny569IE6YaUr1hL68VDc4ttBl+2CB4wtdfnhkQbrhCEHr2AKGprF9uMCdW/po+1KTccl/fL4d0vYD6p50BpJ6lUvWjWk53JSbsG4gs51ZO5NOrIs0oyd1MW8cKXH/zmG+f3iOgzMtBgoOlazFiYUuQkjzh0pWDrx5aWtDLWczWsnKkrep8dDeDTz20hRNT3qsm7rOWDVDX85hti17Nl3LIOOY2J2QxY7UsLTSqf8kzURbusb1g0W2DhQ4Mtvmh0fmOTrX4YWTi0w3pQ6va1vUsg62peMHEZomh4Qa3ZBN1SyWITeTr0+0yzK8phtpD7iFQGOm0ZX9s0Lq7GYdC8uQ6gj9eYd2EJN1De7b3s8LJxr46dBV1jaYn24x24oJYoFtaLTD1A9daNLeEvDCmBdP1cm7Nl4Y9+TQNlaygMZC28fzpeTRUsvJUNEliBIm6366IZXBcb3ry+9d7/dXHncQyd7rKAEb2LupwsGZNoOFDN0w5o4tNY4U2jx9fBHX1tGRA039eRvLNIjTAcCphs/ezVnu3dZPy4+o5Gw2VTP88MgCU00f29QQ6PiRDLbDJMEyDPoLNmUjYLLu0fQido2We5/zcqKCT4XiGubN6IMu580Gsktl+821HFnb5NBMi7l2gJHeBcx09+6YBk0v7AWzNxY8jod5Ds52pMuLoVHK2rimTjVns9ANGSq45FxZRj0x30UghyKyloFjGbSDiJFyZs2BdjeIcSyD27fU6ASvD1aFccJzxxblsA5ClrYzFm1fZkcMXWYsl8sGHZlrs6mW67migNSPXLqZR4kcIhBpsDkXSaHxat6m7cV4ccKpukeYwPX9eUxTp94JODTbJu9aXDeYJ2uazLbljVDTNEpZC02Dd98yyrbBAhsqGQD+4t9ekyoCMy1pTZpOycoso0YnkNI1062A27f29bIiq2W9NU0j71oUXIvJusd0S8o9LUnOjFUy1FPZIpHE6LpBf3rTzjuyrNoOYmrIzcLJBY8gTthQdrFTC0Bd1zAdjaYfYRvyuB3L5Pd++kamGh4nFrqAzGB944UJKrkzJcJqeYfbx6u8Mtnk4EyLQ7NtcrbJUMmh68vMn65r5C25cfCCmFpOWiQWXZNNtRwTdS+VwUrIObKHUPbuJqlNolQ62NyX4+VTdYaLLpNNn03VDPunYwwtIRYy4yiPV6OcsWmHMRlLZro7YUzdi6jlbPxYp2AbmIbO/7xvI3s3VXt90yPlTO+7bJs6etqjWcvZbKxmmGkFTNS7JIncyGVtk9GylBfbNy6v/2eOLTBSymBbBgXXZKEtWw/q3ZBa3ub4fJeTCx1aftzL4Glh0isdj1Uz3DxaYmKxy49PNXj66AJBLB2bXEvHNXRaXkw36DBcyjBayTLep/PEwTmC1Dp4qfyta6QtM9K5qWBKowE/kpniJXMBQ9MoZqTQehgnDBZdXEuWpOfbIduHitx5XR8/PlVnouFRylq4ps58NyCXapT6qUuWY8i2AVkp0dPe4JD5to8ANqbVjjGQaWtkH7VpwM0bSmRMgycOzkEq11XLWxganFyUwVzajt4zGli6InUNimkfqqbJnmRd13Ask8FSFo7XsU1DTvMHMd0owYsFtmkwWHCZawc0PSmltW2wkA6rJdw2XuWFkw3q3RCNhIal0fRk9aDgmoxVsnjtiEreYbYd8MpUg03V7JrarS4lKvhUKK5xLkQf9Gyvc6GB7PIAppqzqWQrvZJv2484Oi+Ha6aaHpWszQ3DRW7bVGbuWItdu3by6nSnN4ASRDH//PwknSCk6cUsdAIMTaOcscgPGbiWSRgnNLyQUsZiz8YKd2ypYZs6R2bb5/z8S8fqhQlF11rx2O6Nld4NbqEbYhga24eKbKplydpmz6JUQ+vJBi29346RIgenWyx2A3KxyYlFGTzZhoYXx6kHuwxgpxo+cZJQSm+4fpwQJAllx6IbyD7AnaMlyllLCvcI0TufuqYx1/a5c2sfm/tkn9j3Ds7y8mRTysjoejrUIe0wg1iW6WUvpbQ63TZY6J2f1bLe8+2AZ48t0A4ico5JfzoY1vZDvDBhthUw35Zi6dWMQaiZ9Oed3rCUpes0uyGNbshcK5C9b6aOfVpPsYZGxjTwItm3utgJ0DSNoVKGoZIMqo/MSi3Qs/Ujj5Sz+FHCno1lBBrjfTl0DZ48NE/WNljoBj1JqXpqoyjSrO2OoSKjJZfBgkvWMhgtu7w82ZLasrrs19w/2eQbL07y0zuHmKx3Zf+pRq+nNWvrFFzZZ7kUbBo6dCOZES1l5UBUN4hZIETTYUM1RzFjsmO4tKI0evp3eaET8MMj83zjxUmmmj5Z22TvpgpDhQzZ1OoW5AYn65jcubWPqYbHYidk0DJIEmlIUMvZZG2z18Ig7XaXtGTl0E+UyE3dlv48Sap+IZ2NZBtIy4+YafokhmBrX45WEFHN2+zdKIe4MpZOJxAcnWtLvdrUhMHSdTRNTr1nLJ28K0XWT8zLkrEA+goOW/vzBHFC05O6nRsqUlWh6YeEUUI1ZzNYdNizqcI7bhjg+4fn+Pz/OETbj+lGstRum9JlyTZ1aWkaxFRyNkEkiOKYDdUMXpTQSjPDuzdWyJomr043aPsRoyWX4+mmpx1ISYO2H9IOIvzodZkrx9J7E/pBKINs29QoZCxAw9Lld2hjLUvBNQmjhL68LZUBukEqjSZ/K6s5G8fSpStaGLPYDdk1Vub28WpPWWS0ksE2pXRZEIOZSnGNVbJkbQOvLfeaBcfkxHyXPWOVNVWBLiUq+FQo/hNwPvqgb8SFBrKrBTDSdUj2u/lRzK3pTSPrmAwUHJIkYe6YDJZ2jpZWvl5RZoCeP77IZMNjou6xoZrhhsEitikn6zOOwc/sGqWWt3s/0qc7PK0WML9Ri0Ela/VucG/f3s+/vTLDqXqXDZXsG7YiaJrGnVv72D/V5EdHFzi16KXZU1leDnQdS4OSK7MZhqZTLbts6cuha3rPCWpw1OXobBsvdVnR0rzK8vPZ9NLyaZrZWOoRC2NBNWvT9KJ0Kl9K10RxQoSgkDHZ0penmDGpZF8XpD496z1QcDgw3WQxLV8XMia2qZN3TPwoptMO6fghcequU3CgI2S5fUM5w2w7oOVHwaXQuwAAIQVJREFUtIOYthdhGfLabPoRQZiQsVcqKRiGhu8luKb0bT+dtfQju5bBeF+elydk37Gfyt7k0+nvThCz2A0IYkE1dXlqeBGnFrsYuoZtyr7b50806KTZUcvUCaOEmZbP4y9PsW+8ynv2bODrL0xwfF7a1ta9VM0hY1JwdEbKLicWPOY6IVEU46Nhm9J73gzloNimWo5bNpRoeNGq2anl3+XNyOeCxiuTDa4bkBn3petCCDk4tfw6XG0Deff1fYSJ4OmjC9iGFEbPWAZRktDoBIRiyblJcGK+Q8OLiOKEWtahlrMxdJ2ia9FfsJlqeDT8kKFiho4f0/RjWp50lrItg4wtpaoMXWZ8u0GMgVSwEECzGwFyEK/oypaQrQM5KlnpxuVHCZ0wZrrl4ZpG6i2fcCDtKd85UiTrmOwbr/Gjo4tM1Lu8PNEkEDGuaeDaskdbttVIDdoYKfl282iJjG32qh1LG8nBkstTR+Y5uehxeK5DzjFoeHIjtZTt1zXpW9/TeNV0bEPrDX+ZhjTLsNKNX5wkbKnl0JCZ2LxrkTHlMFWtIDWK692QVnp+dE1j/3SLbYP53m/XWDW7Ymjy+HyHL//wBJWsxaGZNu3gdbksL4xpeBGmobFzpHjZ9T5V8KlQKM6LCwlkz1W2r+Rs7r9paM1tAEtB8L3b+jk03eLFUw3m2/Jm75g6t26ucseWGsA5HZ5Of8/zOVbLNPh/njmxplaEsWqW/3bnOK5l8E/PnSKIpINSwTXZ0p+l0Y3pL9h0wpgT81368w66JgOxpQxPFAs29+WYavocnmlx82j5DYNekBm4+ZbPWDXDdMPHMeWQVymjEScJQSQn728YKrJ7bPWgZ3nW+6WT9V75erjsMph3+dHxBY7NdYhTxYFGNyZIBF7LhyShlI0xdYtOGDNYcNLJ5IjhsstA0aHtRbxwqsFsy8ex9N7nBggjGaDcsqHEjuEzXfHW2o+8Y7jAjycavDIhhbctQ/bXZW2Dkwsd/Fg657i2QRTLARHZR6cx1ZDT5J0gpn/ZZsuxDIZLLodm2nzv4BwP7BrGC+VzBgsOB2fb5ByDbhAz1wo4Vfflf2doJLFGJFKHrVhgahqbqg43DUunsLX2KOu6zv07h+iGMvOoa9o5r8PTN5BCCJ46PI9pyGydnZql67qGaYChGWl2MubwXJtqVup7Hp5rY6WSXpqm0Z93aXkxM01fVinihIWWz4sn6zimTsGRzkRLpWfXMpgXvtR9zdjomsZCVyowjFYybKpl6foJDV/2hWuaxkDBZb4TUMrYnFroUspazLd8/FjgmoJvvTyN89oslZyNY+rs3limG8RMN32ylgw+NbRelSARAgMd15I+66dXO+Q669w8WmTPxgqPvTRJy5NT/EaqyeulUmmmljqDpd+DYkZKH821PMJQftca3ZC7ru+T1YFOgGXqZG2DnG1wZK5NOWOhaRoFx5QVmCim0Y17m6Z9469vmk//LdbSKfxy1qaUsTk002K25dPwBYabUMnKTOrywcvLhQo+FQrFunCx+k+XWPrhHSy63L61dkY2FuD//tGJczo8rSY5stZjPd/PNFbN8nO3bmAuHRgydOnuIpBlYNswEEjZGX3ZIQVRgqm/7poktUnh6WMLjJQz9BccukG8arDRDeTQxQ2DRfxggYVOQNtPKGZMNHRCLcGxDbb05Zhu+mwfKiCEOKNFYSlo2dKXo51KUJWzFiIRfP9wQisIKbkWCx1Z/s+kdpGddJDDMgyKjkU3jJhr+QwUXe68ro87ttR48vC89Kr3I2ZaPkXHksMqYcxsK6CSs/nA7ZtSQf0zr4O19CPrut573nTTS4fdAhxTx4/kwNuSbmrLlxmictZhQznDj44t4EUdBvJuz+XKS73fozih4JpM1rt85YfHeeb4IoamESWypaHbitlUcZmoy4nmjTUpBzXV8BBRQiw0fD+ilre5aaTAfCc4r2HAC7kOTw9ajsy2MXSdStYiipN0UEbKpmVMnUrBlZll22SwmKGWtxkpZzix2O31MIOcbt9Uy3Jkvt1z9ZnvBNiWwb3X93N0rs2huQ6WHuPYBnEsRdqztsY91/fhWgbH5zvousaOEdlWstAOefbYgrwuXCvtsxVkLZ3bt1S5aaTIS6eaWHHMSDnb22CeWugw3fTwwpiNlQyL3ZAwSXCFgdCkI1TRNfHCGMfSGO8r0PKjXpC7xPINzK4NJZ44MMuR2Q6WruNkdZpeJN2UdNmuoaUBqBfGlDMWSSLNJYpZk9GyvH6qOZtbN1Y4Ot/prVc1ZxPGCQsdqXE8WsnIPvB2wEDBYddIGT+Wsma3jVdXvTZO34jt3VSh3gk4dtJjbLTCbCvgxpHSZS+5gwo+FQrFOnKx+k9PZ7Vs7FTDe1MOT2s91vP9TFnHpJqT2YmlMrEQglrOZrLhYemy9Pa6Q42g4YUMlVwKrsmJ+Y4MyLIW0810+Mgx2VTNsmusfEawsVSWdm2DPZuqmIbOK1NSHsa1jBWDWTnHZKEd8H9+7+iqLQpLQehAQWYONeRAkGnqZC2D2XYgs4aWQc41ZT9u6nXvRREl3WSo5LJlIMfP7Bpl90aZudU0jcm67KU7Pt9lIdVoTYRgqOTyv967ldu39p11/S9ksxDGsmWj7UeUMiYFx8SPE2aaIY5pcP1AnptHyxRckxdPNah3AkbKmV6A3PJCgljqrPYVbE4stJk5LiXH+tPzYxk6h2bavDLVlnJautS71VMpsGyqwxjFSU+f9KbR0gVtxt7Md2tpIC5jmRTcWEp+6VL+K/BjTF3H1CFjm/QVZH+omfaKTjY8+k299z6WoTNSdKnmbLYPF3nLpgrffHGS8b48gyWXdiCtccMk6QW8hqGl6gIht26uMt/ye9dXNWeze2OlN6TYaUt91BuHS/zUTYM8eXieMEm4fqCwYoN53YAMJuvdiGLGpJqzmVj0mIvkkJllSGcyL4y5dVOVn9wx2FMTONsGZrDoMlhyeeLALGGcEERS2si2DcJIundpaebTj6QObMOTcmxv2z7IDcNFumHMq5NNphoeD+4e5d5t/b31OrnQ4S8eP4AXJsx3AkxdZ2Mty9a+fM9+9o1+s1bbiOUcE8uAmWZANW+f16bmUqKCT4VCsa5crP7Tc3ExHJ7WeqyrPU8IsWogsFqZWNM0tvTnqXdDTi12KGcsvDDGNmR5L2sbbO3LM98KePKwHJTZPlxk95jBTMtnYrFL1ja4fbx6RtBy+vv9xLZ+xvtyHJ5tU++GvcGsTbUcs62Aqab/hi0Kp79eGMu+t+FyhuZUk0QINE3aXg6XMnTaHSIBUQyTDZ9bN1a5f+fKFouxapYHd4/ymGVScpvMdUMcQ2O8P89De0bZ1HfuMuH5bhaWWja+d2iO/3htBkPXKRtSdWG46NJXkLaknSBiUy3DoZmEIzNtumGCF0k9xyU/9am6x6mFLjnHYs+mMkbaNlDJOmwf0tk/1aQTyGyqZRhYpiyr5l2L8Vqe/oLLQifggV3DqQRXwlTDO2fwuNo1diHfraWBuANTTVmSThIKlgUaBEAnFZF3bYO9m6Q/+KuTTcb7pOnBUlbSMrVe68SW/jzv3jWCbeq46bVUyzvcd8MATx2ep+VHlLNSOqnpxZyqdxkpZ/ipHTKgXP79WBpSbHRDDs602D5c5Jfv2sxMK3jDDeZ1AwWOz3fYVMtJkXcBU02PJNVKreUd9o1XedeuEcaq2RVqAmfbwNwxXuOxFyaYTlscco6BHidEscDUZb92EMdSHiqBStbknTuH2TogW0aWV16ePDzPf927YUWVYrwvRy3vkCRiRd8pSMeiw7NtXptq9tbtXFWbySCiHQhuu67AXdf1n/em5lKhgk+FQnFNcjEdns6X4/Od3o//ahnE1crEliFdYQw9S9YyObbQWTFIZejwvdfmQAjuGK9RcGRv2nApw1DR7d3MljKUS6yWDRmtZClnrd5g1rtvHuG1mRbTTX9NLQrLXy9rS4/uIJJSTf15m+Fyhrxj4ZgaEzM+upNh52iZlh/xjhsHzrgBHp/v8OTheSl3o2n05xw29+f4qR2DbKzl1nzez3ezMFh02belSsG1eGWyQV/eZqbpc3S+y4GZNpYuh0Puur6P6wbyfPWZkzTTjKcQmhRRd0yafsR8OwBNTvBXsq+XNfOOtP98dbJJLW/z1u0DPRH1Jfeklh/RCSKePV7n31+dWdNg3LmusfNh+UDcgjfHYjskSgJcQ6fpJRhmQiVnc8NQkbuu6wdkZWGhE3D9YJ6JuicHjbohOcfknuv6egGdEGLFZqWWd9i3pSYzmS2fkw2PgaLLno0V7tza17t+V2ujmGn5bKxluf+mIXRdX3WDebryg23qvONGOcjY8aUerbSf1NhQyTBYdN+wH/b0AG/3xjJ3XdfH0fnjJEKkHvI6pYyJEPJ3xdZlD+fGapa3bK4yVs2dcb5Xq7xkbAPXkioF+ezK36z5dtBT2uB5qObmzrreyz9Hyws4tL/DfbeOYppXTsh35RyJQqFQXEQupsPT+XB8vrOmIafVysRvGa+xb3OFph+zf6rJkbk2YZRIIflYTuDesaGPan7lMZ+rjeBs77c0mGWbOt96ZXrNLQrLX+/wTAshoNENKTgWw+VMb1o+SRK6IVw3KPtS7SUP8Tc4XyPlLN0wZmKxy9eePcmDu0dxLOOitWmsli28f+cQk40uTx2RwvG1dFhlvi3tC2dbAf9lU4WKa+EHsgxdypjomk43inFMg0rGoh3GHJntUBqzVgxNFVw5Ve/aBsNld8VjQggOTDepd2VmdHnf4tkG45afs6GiK60j/Yinj8wzsdjhvbeOXVDZ/r/dOU5/weXbr0xzYqHLQiAFyzfXMty3faAXUAIrrqdqzqaUsRgsudwxXuu1U8Dqm59SxmLbYJ4jhnZGC8bSsayljeL0DeZ8O+iV58O0d9W1DBa7IeP9axuyOdcGRtM07tnWz7dfm2GhLWWR8o6Bqes0g4i8ZjFYdKlkLao5m5Hy6uuwWuXlbL9Z8+2AZ44tMFHvsrkvx46RIl6YnHNwcrDoSqvhjHFFlNqXo4JPhUJxTXIxHZ7Wikj1D9cy5LRalsUP4xWyULahUc077BwpYhlSTH24nFn1vc/VRvBGWZ2l9zufFoXlr3dwusk/Pz/BKxNNFjsBRdcgjKHeDXBMjfFadtVg/1zn69njC/z54wfoz9vS//pNZPfg7NnC28er9OcdmcXVtJ7O48Zali21HPOdgMNzbYZKGepelA4TCXRNarEWHJNTdY8EiBLBqUVP+tWbes/Gsr9gc/1ggUMz7RXX4mS9S70bUszYZ/QtrpZ1Xn7OqlmbVyebvWDL0jVOLHRxLJOP/MSWC9Ly/chPbOHB3SMcn+8w1/KYPXmU+27bxUglt+L1zqfH9Fybn9XWci2vvzxYq2Rtnju+SCeIKWUszIzJxKKHrid8Z/8MfXnnopWct/TnuXWswonFDqcWPdp+DCTkHIMtQ3nG+7N00u/K+VReVvvNyliGzHjWuwyXXG4aLmHqOnlHP+fg5JWMCj4VCsU1y8WesD8X003/vIaclmdZjs93+NqzJ8/ImE4sdukGEfdc19/rnbvQNoKzZXUutEVB02S5/cSih55K85xalBqXQyWXsWoG3faYb4erDju80fla6IRMNnzqnZDh7f2MlN1zymS9EW+UkT4w1aQTxPzEtn6E4AydR8vUObXYxTI0yllpZSmEwNB1HEsHIbNTHU2jmjWp5Wy6YUzTDzE1DdfUeceOQX5651Bvc7F0LY5UsoSxYGMtt6ZrZumcZSyjF2wV3VSWJ5Bajv/240n2jVfZs7Gy5vOz/D2XRPzjOObZYJKhVdZn+fGthQsZiFpLFvKOLTUmFjt8/9AcXpQwXHJTeSOpGrB7Q5n5TnBRA7SBgsOusTKWqXPb5ir1TgQalLNyI3Jots2OkSIAr042z6vycvpv1uHZNhMNj819OW4aLlHJrdTgvVK82s8XFXwqFIprmks1Yb8aFzrktJaM6f7pJptqWV6dbLKlL0fLl0LplqGTd4w31UZwoS0KywO6jbUc2wYLHJhp8dLJOnEisHSdBI0bhlcfdjjb+RJCcGimRRQl5F2jJ0q+Fpms1TjX+X3m2AKTDY9tQwXMVeScsraJocug7OBMG12T/uW919cEtqmTc0zQNK4fzJOxTBpeSL0TMFx2edfNw2cIg2dsg44f8bffP7bma6YbxHhhLIPdICZrG0w2fdp+JIe9gNlmzDdfmGD3Mq/7K4FLMWw4Vs3yE9cP8Ozxek/aydT1ns1tJTUEuJgB2vIM5WwrWJHJPjTbppy1uDNVZ5hqeOddeVn+m/XaVBOehx0jxbNem+canLwSUcGnQqG45lmvCfsLzSCuJWN6dK7D/7RjkP1TTf7fFyeJhUA6RwsMTWP7cOGC2wgupEXhbAHdDUNFtg3kefFknQ3VDNssn7edZdjhbOer6UXMtQNc25CTyebrN90Lyfac6/wOlVwOzraZSSf9T2fJJekdNw5wcKbJsfkOY6kHeBBJK9dK1mKo6JJ1TOJEMJ9qiJ5eWj79WpxqeOd1zWRsqZ861fCxDY0Ti12CNIA3dQ0vlH49Tx2e59njixeU/bzaqOTsN5wSvxQB2lqrKhdaeVl+nVRzc3hhQt45M/i8lIOTlxIVfCoUCsVF4kIziGvNmHpBDGgIDRAaUlQw/TdvLsN1vi0KbxTQ6brOeH9eerHb2lkD4rOdrzBOCOOERAhGyhkK7spb1fkGE+c6vwMFl5xtcmqxy9Cy6WdYuW57Nlb45bu38H/8f4eZqHs4lpQRKmctcrbJWDVz3gNS53vNDBQcBksuPzg8h5X2lBYc6RgkEIRCMFh0COOE7x2cu+Kyn5eCN5oSh0sXoK2lqvJmKy+Xa3DyUqOCT4VCobhIXOiQ01oyprah8eKpBokQvHPnkCy7p72JeceQFo9vsq/tfG6UawmYJ+td/Fic9f3Odr78SPqBl7MWW/vyvQzW8vNxPsHEuc5vN4zZXMuStc1zrtu+LTWGSy6PvTTFkdk2CYJyxmK8P3/BMkfnc81omsYd4zX+5cVJJhseJddCaBDFCd0oxjZ0yhmHIJZaoVdbL+CFcDkDtLVUVd5M5eVyDE6uByr4VCgUiovIhQw5reXmOVzOMN+SZWFd0ym6K0twF2vwYK03yrUEzK5l4BhvfFNc7XzZhsa2oQIacohjORcSTKzl/O4aK3P7ePWMgaDV1m1jLcf/cs/4ResjPt9rZvfGMvvGq/zj8xPEQtD2I3RNo5Sx6MvZtIOYwZKDaWhXXS/ghXCtBmhLrPfg5Hqggk+FQqG4yJxvqW0tN8+dI0W+9fL0m3JsupisJaDbNpinorfP+Vpnk5362rMnL0owsdbgZLWBoLOt28XuIz6fa0bTNO7fOczTxxYJ4phSxsa1DHRNo+GFZG2DkWIGNK66XsAL5VoM0JaznoOT64EKPhUKheIScL7Byblunrap47w2e1kcm1ZjLQHd7eNV5o7Nrvn1Tj9fFzOYWGtwsl7DaatxPu+9e2OZt984wH8ckOe3nWqTDpXcnjbp1dgL+Ga41gK007mc1+bFRgWfCoVCcYXwRjfP020Kr4TBg3MFdCMlh7ljb+71L2YwcS0FJ5qm8a5dI/hRwkS9SzljU8hYmLp2TZSaL5RrKUC7llHBp0KhUFxBnO3meaX2tb1RQBfHb74F4GIHE9dScDJWzfLeW18P/ufbwTVValZcu6jgU6FQKK4SrtS+tmspoLvauJayuYr/PKjgU6FQKK4iVLChOB0V/CuuNlTwqVAoFFcZKthQKBRXM2d6NSkUCoVCoVAoFJcIFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYNFXwqFAqFQqFQKNYN83IfwFoQQgAQx/G6vN/S+6zX+ykuPmoNr37UGl79qDW8ulHrd/Wz3mu49D5LcdvZ0MS5nnEFEAQBL7zwwuU+DIVCoVAoFArFObj55puxbfusj18VwWeSJERRhK7raJp2uQ9HoVAoFAqFQnEaQgiSJME0TXT97J2dV0XwqVAoFAqFQqG4NlADRwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFnwqFQqFQKBSKdUMFn6fxd3/3d7ztbW/j5ptv5r3vfS8//OEPL/chKVIeffRRHnroIfbs2cMdd9zBr/7qr3Lo0KEVzxFC8Bd/8Rfcfffd7Nq1iw984AO89tprK54TBAGf+tSn2LdvH7t37+ajH/0ok5OT6/lRFMj13L59O5/+9Kd7f1Prd+UzNTXFxz/+cfbt28ctt9zCz/7sz/Liiy/2HldreGUTRRF/9md/xtve9jZ27drF29/+dv7yL/+SJEl6z1FreGXxgx/8gI9+9KPcfffdbN++nW9961srHr9Y61Wv1/nEJz7B3r172bt3L5/4xCdoNBqX5kMJRY+vf/3r4qabbhJf+cpXxIEDB8Qjjzwidu/eLU6ePHm5D00hhPilX/ol8dWvflXs379fvPzyy+LDH/6weOtb3yra7XbvOY8++qjYs2ePeOyxx8Srr74qfuM3fkPcddddotls9p7zyU9+Utxzzz3iiSeeEC+99JL4wAc+IH7mZ35GRFF0OT7Wf0qee+45cd9994l3v/vd4pFHHun9Xa3flc3i4qK47777xO/+7u+K5557Thw/flx897vfFUePHu09R63hlc3nPvc5cdttt4l///d/F8ePHxff/OY3xe7du8Xf/M3f9J6j1vDK4tvf/rb47Gc/Kx577DGxbds28a//+q8rHr9Y6/XLv/zL4oEHHhBPP/20ePrpp8UDDzwgPvKRj1ySz6SCz2X83M/9nPjkJz+54m/333+/+JM/+ZPLdESKN2Jubk5s27ZNPPXUU0IIIZIkEXfddZd49NFHe8/xfV/s3btXfOlLXxJCCNFoNMRNN90kvv71r/eeMzk5KW644Qbxne98Z30/wH9SWq2W+Mmf/EnxxBNPiF/4hV/oBZ9q/a58/viP/1i8733vO+vjag2vfD784Q+L3/u931vxt1/7tV8TH//4x4UQag2vdE4PPi/Weh04cEBs27ZNPPvss73nPPPMM2Lbtm3i4MGDF/1zqLJ7ShAEvPTSS9x9990r/n7XXXfxzDPPXKajUrwRzWYTgFKpBMCJEyeYmZlZsYa2bfOWt7ylt4YvvvgiYRhy11139Z4zODjI9ddfr9Z5nXj44Ye59957ufPOO1f8Xa3flc/jjz/Ozp07+fVf/3XuuOMOHnzwQb7yla/0HldreOWzd+9ennzySQ4fPgzAK6+8wo9+9CPuvfdeQK3h1cbFWq9nnnmGQqHALbfc0nvO7t27KRQKl2RNzYv+ilcpCwsLxHFMrVZb8fe+vj5mZmYu01EpzoYQgs985jPs3buXbdu2AfTWabU1PHXqFACzs7NYltULWJc/Z3Z2dh2O/D83X//61/nxj3/MP/zDP5zxmFq/K5/jx4/zpS99iQ996EN89KMf5fnnn+eRRx7Btm0efPBBtYZXAb/yK79Cs9nkne98J4ZhEMcxv/mbv8kDDzwAqO/h1cbFWq/Z2dkzXmPpdS/Fmqrg8zQ0TVvxbyHEGX9TXH4efvhh9u/fz9///d+f8dhqa3gu1vIcxZtjYmKCT3/60/zVX/0VjuOc9Xlq/a5chBDs3LmT3/qt3wJgx44dHDhwgC996Us8+OCDveepNbxy+cY3vsE//uM/8qd/+qdcd911vPzyy3zmM59hYGCA97znPb3nqTW8urhU63WpYiBVdk+pVCoYhnFGhD83N0dfX99lOirFanzqU5/i8ccf5wtf+AJDQ0O9v/f39wO84Rr29fURhiH1ev2sz1FcGl566SXm5uZ473vfy44dO9ixYwdPPfUUX/ziF9mxY0fv/Kv1u3Lp7+9n69atK/62ZcuWXoZFfQevfP7oj/6ID3/4w7zrXe9i+/btPPjgg3zwgx/k0UcfBdQaXm1crPXq6+tjbm7ujNefn59fNSP6ZlHBZ4pt29x000088cQTK/7+3e9+lz179lymo1IsRwjBww8/zL/8y7/whS98gbGxsRWPb9iwgf7+/hVrGAQBP/jBD3pruHPnTizLWvGc6elpXnvtNbXOl5jbb7+df/qnf+JrX/ta7387d+7k3e9+N1/72tcYGxtT63eFc+utt/Z6BZc4cuQIo6OjgPoOXg14nndGJsswjF4WTK3h1cXFWq89e/bQbDZ5/vnne8957rnnaDabl2RNVdl9GR/60If47d/+bXbu3MmePXv48pe/zMTEBD//8z9/uQ9NAfz3//7f+ed//mc+97nPkcvler0uhUIB13XRNI1f/MVf5NFHH2Xz5s1s2rSJRx99FNd1e/1MhUKBhx56iD/8wz+kUqlQKpX4wz/8Q7Zt23bGAIzi4pLP53v9uUtks1nK5XLv72r9rmw++MEP8r73vY/Pf/7zvPOd7+T555/nK1/5Cg8//DCA+g5eBdx33318/vOfZ2RkpFd2/+u//mseeughQK3hlUi73ebYsWO9f584cYKXX36ZUqnEyMjIRVmvrVu3cs899/D7v//7ve/zH/zBH3DfffexZcuWi/+hLvr8/FXO3/7t34r77rtP3HTTTeI973lPT8ZHcfnZtm3bqv/76le/2ntOkiTiz//8z8Vdd90ldu7cKd7//veLV199dcXreJ4nHn74YXHbbbeJXbt2iY985CPi1KlT6/1xFEKskFoSQq3f1cDjjz8uHnjgAbFz505x//33iy9/+csrHldreGXTbDbFI488It761reKm2++Wbz97W8Xn/3sZ4Xv+73nqDW8snjyySdXvff9zu/8jhDi4q3XwsKC+NjHPib27Nkj9uzZIz72sY+Jer1+ST6TJoTqEFYoFAqFQqFQrA+q51OhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW6o4FOhUCgUCoVCsW78/9m3qRyMqRflAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "noise = torch.Tensor(np.random.normal(0, 0.02, size=N))\n",
    "x = torch.arange(N)\n",
    "a, k, b = 0.7, .01, 0.2\n",
    "y = a * np.exp(-k * x) + b + noise\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x, y, alpha=0.4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "a36c8732",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:47:36.724412Z",
     "start_time": "2024-03-15T13:47:36.716190Z"
    }
   },
   "outputs": [],
   "source": [
    "class RegModel(nn.Module):\n",
    "    \"\"\"Custom Pytorch model for gradient optimization.\n",
    "    \"\"\"\n",
    "    def __init__(self):\n",
    "        \n",
    "        super().__init__()\n",
    "        # initialize weights with random numbers\n",
    "        weights = torch.distributions.Uniform(0, 0.1).sample((3,))\n",
    "        # make weights torch parameters\n",
    "        self.weights = nn.Parameter(weights)        \n",
    "        \n",
    "    def forward(self, X):\n",
    "        \"\"\"Implement function to be optimised. In this case, an exponential decay\n",
    "        function (a + exp(-k * X) + b),\n",
    "        \"\"\"\n",
    "        a, k, b = self.weights\n",
    "        return a * torch.exp(-k * X) + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "adc5360a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:49.858121Z",
     "start_time": "2024-03-15T13:50:49.849636Z"
    }
   },
   "outputs": [],
   "source": [
    "model = RegModel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "b2e26a47",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:50.769086Z",
     "start_time": "2024-03-15T13:50:50.756975Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('weights',\n",
       "  Parameter containing:\n",
       "  tensor([0.0454, 0.0659, 0.0034], requires_grad=True))]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(model.named_parameters())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "4a834d26",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:51.956555Z",
     "start_time": "2024-03-15T13:50:51.950061Z"
    }
   },
   "outputs": [],
   "source": [
    "optimizer = torch.optim.Adam(model.parameters(), lr=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "c609b723",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:53.364700Z",
     "start_time": "2024-03-15T13:50:52.793375Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1e4999ea21f643fa8ec975495121498c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "losses = []\n",
    "for i in tqdm(range(1000)):\n",
    "    optimizer.zero_grad()\n",
    "    preds = model(x)\n",
    "    loss = F.mse_loss(preds, y).sqrt()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.detach().numpy())  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bb3300a0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:55.314507Z",
     "start_time": "2024-03-15T13:50:55.304894Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Parameter containing:\n",
       "tensor([0.6870, 0.0097, 0.1997], requires_grad=True)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "59cf2e27",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:50:56.807607Z",
     "start_time": "2024-03-15T13:50:56.527276Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x703ec70e09a0>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "03cd5d44",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-15T13:52:48.578100Z",
     "start_time": "2024-03-15T13:52:48.205256Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x703ec66c34f0>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "preds = model(x)\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x, preds.detach().numpy(), label='pred')\n",
    "plt.scatter(x, y, alpha=.3, label='true')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "15992791",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
